BSEB Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.4 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 5 Arithmetic Progressions Ex 5.4 Book Answers |
Bihar Board Class 10th Maths Chapter 5 Arithmetic Progressions Ex 5.4 Textbooks Solutions PDF
Bihar Board STD 10th Maths Chapter 5 Arithmetic Progressions Ex 5.4 Books Solutions with Answers are prepared and published by the Bihar Board Publishers. It is an autonomous organization to advise and assist qualitative improvements in school education. If you are in search of BSEB Class 10th Maths Chapter 5 Arithmetic Progressions Ex 5.4 Books Answers Solutions, then you are in the right place. Here is a complete hub of Bihar Board Class 10th Maths Chapter 5 Arithmetic Progressions Ex 5.4 solutions that are available here for free PDF downloads to help students for their adequate preparation. You can find all the subjects of Bihar Board STD 10th Maths Chapter 5 Arithmetic Progressions Ex 5.4 Textbooks. These Bihar Board Class 10th Maths Chapter 5 Arithmetic Progressions Ex 5.4 Textbooks Solutions English PDF will be helpful for effective education, and a maximum number of questions in exams are chosen from Bihar Board.Bihar Board Class 10th Maths Chapter 5 Arithmetic Progressions Ex 5.4 Books Solutions
Board | BSEB |
Materials | Textbook Solutions/Guide |
Format | DOC/PDF |
Class | 10th |
Subject | Maths Chapter 5 Arithmetic Progressions Ex 5.4 |
Chapters | All |
Provider | Hsslive |
How to download Bihar Board Class 10th Maths Chapter 5 Arithmetic Progressions Ex 5.4 Textbook Solutions Answers PDF Online?
- Visit our website - Hsslive
- Click on the Bihar Board Class 10th Maths Chapter 5 Arithmetic Progressions Ex 5.4 Answers.
- Look for your Bihar Board STD 10th Maths Chapter 5 Arithmetic Progressions Ex 5.4 Textbooks PDF.
- Now download or read the Bihar Board Class 10th Maths Chapter 5 Arithmetic Progressions Ex 5.4 Textbook Solutions for PDF Free.
BSEB Class 10th Maths Chapter 5 Arithmetic Progressions Ex 5.4 Textbooks Solutions with Answer PDF Download
Find below the list of all BSEB Class 10th Maths Chapter 5 Arithmetic Progressions Ex 5.4 Textbook Solutions for PDF’s for you to download and prepare for the upcoming exams:BSEB Bihar Board Class 10th Maths Solutions Chapter 5 Arithmetic Progressions Ex 5.4
Question 1.
Which term of the AP : 121, 117, 113, …, is its first negative term?
Solution:
121, 117, 113, …
a = 121, d = 117 – 121 = – 4
an = a + (n – 1 )d
= 121 + in – 1) x (- 4)
= 121 – 4n + 4 = 125 – 4n
For the first negative term.
an < 0 i.e., 125 – 4n < 0
or 125 < 4n or 1254 < n
or 3114 < n n is an integer and n >3114
∴ The first negative term is 32nd term.
Question 2.
The sum of the third and the seventh terms of an AP is 6 and their product is 8. Find the sum of first sixteen terms of the AP.
Solution:
Let the AP be a – 4d, a – 3d, a – 2d, a – d, a, a + d, a + 2d, a + 3d, …
Then, a3 = a – 2d, a7 = a – 2d
So, a3+a7 = a – 2d + a – 2d = 6
or 2a = 6 or a – 3
Also, (a – 2d)(a + 2d) = 8
So, a²-4d² = 8 or 4d² = a² – 8
or 4d² = (3)² – 8 = 9 – 8 = 1
or d² = 14 or d = ± 12
Taking d = 12
Question 3.
A ladder has rungs 25 cm apart (see figure). The rungs decrease uniformly in length from 45 cm, at the bottom to 25 cm at the top. If the top and the
bottom rungs are 212 m apart, what is the length of the wood required for the rungs?
Solution:
Number of rungs, n = 212 m25 cm = 250 cm25 cm = 10
So, there are 10 rungs.
The length of the wood required for rungs
= sum of 10 rungs
= 102 [25 + 45] cm
= 5 x 70 cm
= 350 cm.
Question 4.
The houses of a row are numbered consecutively from 1 to 49. Show that there is a value of x such that the sum of the numbers of the houses preceding the * house numbered x is equal to the sum of the numbers of the houses following it. Find this value of x.
Solution:
According to the question,
∵ x is a counting number, so taking positive square root, x = 7 x 5 = 35.
Question 5.
A small terrace at a football ground comprises 15 steps each of which is 50 m long and built of solid concrete. Each step has a rise of 14 m and a tread of 12 (see figure). Calculate the total volume of concrete required to build the terrace.
Solution:
Volume of concrete required to build the first step, second step, third step, … (in m³) are
14 x 12 x 50, ( 2 x 14 ) x 12 x 50, (3 x 14) x 12 x 50, ….
i.e., 508 x 2 x 508, 3 x 508, ….
∴ Total volume of concrete required
= [508 + 2 x 508 + 3 x 508 + … ] m³
= 508[1 + 2 + 3 + …] m³
= 508 x 508 [2 x 1 + (15 – 1) x 1] m³ [∵ n = 15]
= 508 x 508 x 16 = 750 m³
BSEB Textbook Solutions PDF for Class 10th
- BSEB Class 10 Textbook Solutions PDF: Download Bihar Board STD 10th Book Answers
- BSEB Class 10 Maths Textbook Solutions PDF: Download Bihar Board STD 10th Maths Book Answers
- BSEB Class 10 Maths Chapter 1 Real Numbers Ex 1.1 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 1 Real Numbers Ex 1.1 Book Answers
- BSEB Class 10 Maths Chapter 1 Real Numbers Ex 1.2 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 1 Real Numbers Ex 1.2 Book Answers
- BSEB Class 10 Maths Chapter 1 Real Numbers Ex 1.3 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 1 Real Numbers Ex 1.3 Book Answers
- BSEB Class 10 Maths Chapter 1 Real Numbers Ex 1.4 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 1 Real Numbers Ex 1.4 Book Answers
- BSEB Class 10 Maths Chapter 2 Polynomials Ex 2.1 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 2 Polynomials Ex 2.1 Book Answers
- BSEB Class 10 Maths Chapter 2 Polynomials Ex 2.2 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 2 Polynomials Ex 2.2 Book Answers
- BSEB Class 10 Maths Chapter 2 Polynomials Ex 2.3 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 2 Polynomials Ex 2.3 Book Answers
- BSEB Class 10 Maths Chapter 2 Polynomials Ex 2.4 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 2 Polynomials Ex 2.4 Book Answers
- BSEB Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Ex 3.1 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 3 Pair of Linear Equations in Two Variables Ex 3.1 Book Answers
- BSEB Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Ex 3.2 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 3 Pair of Linear Equations in Two Variables Ex 3.2 Book Answers
- BSEB Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Ex 3.3 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 3 Pair of Linear Equations in Two Variables Ex 3.3 Book Answers
- BSEB Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Ex 3.4 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 3 Pair of Linear Equations in Two Variables Ex 3.4 Book Answers
- BSEB Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Ex 3.5 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 3 Pair of Linear Equations in Two Variables Ex 3.5 Book Answers
- BSEB Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Ex 3.6 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 3 Pair of Linear Equations in Two Variables Ex 3.6 Book Answers
- BSEB Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Ex 3.7 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 3 Pair of Linear Equations in Two Variables Ex 3.7 Book Answers
- BSEB Class 10 Maths Chapter 4 Quadratic Equations Ex 4.1 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 4 Quadratic Equations Ex 4.1 Book Answers
- BSEB Class 10 Maths Chapter 4 Quadratic Equations Ex 4.2 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 4 Quadratic Equations Ex 4.2 Book Answers
- BSEB Class 10 Maths Chapter 4 Quadratic Equations Ex 4.3 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 4 Quadratic Equations Ex 4.3 Book Answers
- BSEB Class 10 Maths Chapter 4 Quadratic Equations Ex 4.4 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 4 Quadratic Equations Ex 4.4 Book Answers
- BSEB Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.1 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 5 Arithmetic Progressions Ex 5.1 Book Answers
- BSEB Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.2 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 5 Arithmetic Progressions Ex 5.2 Book Answers
- BSEB Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.3 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 5 Arithmetic Progressions Ex 5.3 Book Answers
- BSEB Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.4 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 5 Arithmetic Progressions Ex 5.4 Book Answers
- BSEB Class 10 Maths Chapter 6 Triangles Ex 6.1 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 6 Triangles Ex 6.1 Book Answers
- BSEB Class 10 Maths Chapter 6 Triangles Ex 6.2 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 6 Triangles Ex 6.2 Book Answers
- BSEB Class 10 Maths Chapter 6 Triangles Ex 6.3 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 6 Triangles Ex 6.3 Book Answers
- BSEB Class 10 Maths Chapter 6 Triangles Ex 6.4 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 6 Triangles Ex 6.4 Book Answers
- BSEB Class 10 Maths Chapter 6 Triangles Ex 6.5 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 6 Triangles Ex 6.5 Book Answers
- BSEB Class 10 Maths Chapter 6 Triangles Ex 6.6 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 6 Triangles Ex 6.6 Book Answers
- BSEB Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.1 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 7 Coordinate Geometry Ex 7.1 Book Answers
- BSEB Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.2 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 7 Coordinate Geometry Ex 7.2 Book Answers
- BSEB Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.3 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 7 Coordinate Geometry Ex 7.3 Book Answers
- BSEB Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.4 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 7 Coordinate Geometry Ex 7.4 Book Answers
- BSEB Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.1 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 8 Introduction to Trigonometry Ex 8.1 Book Answers
- BSEB Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.2 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 8 Introduction to Trigonometry Ex 8.2 Book Answers
- BSEB Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.3 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 8 Introduction to Trigonometry Ex 8.3 Book Answers
- BSEB Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.4 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 8 Introduction to Trigonometry Ex 8.4 Book Answers
- BSEB Class 10 Maths Chapter 9 Some Applications of Trigonometry Ex 9.1 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 9 Some Applications of Trigonometry Ex 9.1 Book Answers
- BSEB Class 10 Maths Chapter 10 Circles Ex 10.1 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 10 Circles Ex 10.1 Book Answers
- BSEB Class 10 Maths Chapter 10 Circles Ex 10.2 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 10 Circles Ex 10.2 Book Answers
- BSEB Class 10 Maths Chapter 11 Constructions Ex 11.1 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 11 Constructions Ex 11.1 Book Answers
- BSEB Class 10 Maths Chapter 11 Constructions Ex 11.2 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 11 Constructions Ex 11.2 Book Answers
- BSEB Class 10 Maths Chapter 12 Areas Related to Circles Ex 12.1 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 12 Areas Related to Circles Ex 12.1 Book Answers
- BSEB Class 10 Maths Chapter 12 Areas Related to Circles Ex 12.2 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 12 Areas Related to Circles Ex 12.2 Book Answers
- BSEB Class 10 Maths Chapter 12 Areas Related to Circles Ex 12.3 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 12 Areas Related to Circles Ex 12.3 Book Answers
- BSEB Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.1 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 13 Surface Areas and Volumes Ex 13.1 Book Answers
- BSEB Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.2 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 13 Surface Areas and Volumes Ex 13.2 Book Answers
- BSEB Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.3 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 13 Surface Areas and Volumes Ex 13.3 Book Answers
- BSEB Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.4 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 13 Surface Areas and Volumes Ex 13.4 Book Answers
- BSEB Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.5 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 13 Surface Areas and Volumes Ex 13.5 Book Answers
- BSEB Class 10 Maths Chapter 14 Statistics Ex 14.1 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 14 Statistics Ex 14.1 Book Answers
- BSEB Class 10 Maths Chapter 14 Statistics Ex 14.2 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 14 Statistics Ex 14.2 Book Answers
- BSEB Class 10 Maths Chapter 14 Statistics Ex 14.3 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 14 Statistics Ex 14.3 Book Answers
- BSEB Class 10 Maths Chapter 14 Statistics Ex 14.4 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 14 Statistics Ex 14.4 Book Answers
- BSEB Class 10 Maths Chapter 15 Probability Ex 15.1 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 15 Probability Ex 15.1 Book Answers
- BSEB Class 10 Maths Chapter 15 Probability Ex 15.2 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 15 Probability Ex 15.2 Book Answers
0 Comments:
Post a Comment