AP Board Class 10 Maths Chapter 6 Progressions Ex 6.5 Textbook Solutions PDF: Download Andhra Pradesh Board STD 10th Maths Chapter 6 Progressions Ex 6.5 Book Answers ~ HSSlive: Plus One & Plus Two Notes & Solutions for Kerala State Board

Thursday, June 9, 2022

AP Board Class 10 Maths Chapter 6 Progressions Ex 6.5 Textbook Solutions PDF: Download Andhra Pradesh Board STD 10th Maths Chapter 6 Progressions Ex 6.5 Book Answers

AP Board Class 10th Maths Chapter 6 Progressions Ex 6.5 Textbooks Solutions and answers for students are now available in pdf format. Andhra Pradesh Board Class 10th Maths Chapter 6 Progressions Ex 6.5 Book answers and solutions are one of the most important study materials for any student. The Andhra Pradesh State Board Class 10th Maths Chapter 6 Progressions Ex 6.5 books are published by the Andhra Pradesh Board Publishers. These Andhra Pradesh Board Class 10th Maths Chapter 6 Progressions Ex 6.5 textbooks are prepared by a group of expert faculty members. Students can download these AP Board STD 10th Maths Chapter 6 Progressions Ex 6.5 book solutions pdf online from this page.

Andhra Pradesh Board Class 10th Maths Chapter 6 Progressions Ex 6.5 Textbooks Solutions PDF

Andhra Pradesh State Board STD 10th Maths Chapter 6 Progressions Ex 6.5 Books Solutions with Answers are prepared and published by the Andhra Pradesh Board Publishers. It is an autonomous organization to advise and assist qualitative improvements in school education. If you are in search of AP Board Class 10th Maths Chapter 6 Progressions Ex 6.5 Books Answers Solutions, then you are in the right place. Here is a complete hub of Andhra Pradesh State Board Class 10th Maths Chapter 6 Progressions Ex 6.5 solutions that are available here for free PDF downloads to help students for their adequate preparation. You can find all the subjects of Andhra Pradesh Board STD 10th Maths Chapter 6 Progressions Ex 6.5 Textbooks. These Andhra Pradesh State Board Class 10th Maths Chapter 6 Progressions Ex 6.5 Textbooks Solutions English PDF will be helpful for effective education, and a maximum number of questions in exams are chosen from Andhra Pradesh Board.

Andhra Pradesh State Board Class 10th Maths Chapter 6 Progressions Ex 6.5 Books Solutions

Board	AP Board
Materials	Textbook Solutions/Guide
Format	DOC/PDF
Class	10th
Subject	Maths
Chapters	Maths Chapter 6 Progressions Ex 6.5
Provider	Hsslive

How to download Andhra Pradesh Board Class 10th Maths Chapter 6 Progressions Ex 6.5 Textbook Solutions Answers PDF Online?

Visit our website - Hsslive
Click on the Andhra Pradesh Board Class 10th Maths Chapter 6 Progressions Ex 6.5 Answers.
Look for your Andhra Pradesh Board STD 10th Maths Chapter 6 Progressions Ex 6.5 Textbooks PDF.
Now download or read the Andhra Pradesh Board Class 10th Maths Chapter 6 Progressions Ex 6.5 Textbook Solutions for PDF Free.

AP Board Class 10th Maths Chapter 6 Progressions Ex 6.5 Textbooks Solutions with Answer PDF Download

Find below the list of all AP Board Class 10th Maths Chapter 6 Progressions Ex 6.5 Textbook Solutions for PDF’s for you to download and prepare for the upcoming exams:

10th Class Maths 6th Lesson Progressions Ex 6.5 Textbook Questions and Answers

Question 1.
For each geometric progression find the common ratio ‘r’, and then find a_n.
i) 3, 32, 34, 38, …….
Answer:
Given G.P.: 3, 32, 34, 38, …….

ii) 2, -6, 18, -54, …….
Answer:
Given G.P. = 2, -6, 18, -54, …….
a = 2, r = 𝑎2𝑎1 = −62 = -3
a_n = a . r^n-1 = 2 × (-3)^n-1
∴ r = -3; a_n = 2(-3)^n-1

iii) -1, -3, -9, -27, ……
Given G.P. = -1, -3, -9, -27, ……
a = -1, r = 𝑎2𝑎1 = −3−1 = 3
a_n = a . r^n-1 = (-1) × 3^n-1
∴ r = 3; a_n = (-1) × 3^n-1

iv) 5, 2, 45, 825, …….
Given G.P. = 5, 2, 45, 825, …….
a = 5, r = 𝑎2𝑎1 = 25
a_n = a . r^n-1 = 5 × (25)𝑛−1
∴ r = 25; a_n = 5(25)𝑛−1

Question 2.
Find the 10^th and nth term of G.P.: 5, 25, 125,…..
Answer:
Given G.P.: 5, 25, 125,…..
a = 5, r = 𝑎2𝑎1 = 255 = 5
a_n = a . r^n-1 = 5 × (5)^n-1 = 5^1+n-1 = 5ⁿ
a₁₀ = a . r⁹ = 5 × 5⁹ = 5¹⁰
∴ a₁₀ = 5¹⁰; a_n = 5ⁿ

Question 3.
Find the indicated term of each geometric progression.
i) a₁ = 9; r = 13; find a₇.
Answer:
a_n = a . r^n-1

ii) a₁ = -12; r = 13; find a₆.
Answer:
a_n = a . r^n-1

Question 4.
Which term of the G.P.
i) 2, 8, 32,….. is 512?
Answer:
Given G.P.: 2, 8, 32,….. is 512
a = 2, r = 𝑎2𝑎1 = 82 = 4
Let the n^th term of G.P. be 512

512 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
= 2⁹
∴ 2n – 1 = 9
[∵ bases are equal, exponents are also equal]
∴ 2n = 9 + 1 = 10
n = 102 = 5
∴ 512 is the 5^th term of the given G.P.

ii) √3, 3, 3√3, …….. is 729?
Answer:
Given G.P.: √3, 3, 3√3, …….. is 729
a = √3, r = 𝑎2𝑎1 = 33√ = √3
now a_n = a . r^n-1 = 729
⇒ (√3)(√3)^n-1 = 729
⇒ (√3)ⁿ = 3⁶ = (√3)¹²
⇒ n = 12
So 12th term of GP √3, 3, 3√3, …….. is 729.

iii) 13, 19, 127, ……. is 12187?
Answer:
Given G.P.: 13, 19, 127, ……. is 12187

Let 12187 be the n^th term of the G.P., then
a_n = a . r^n-1 = 12187

[∵ bases are equal, exponents are also equal]
7^th term of G.P is 12187.

Question 5.
Find the 12^th term of a G.P. whose 8 term is 192 and the common ratio is 2.
Answer:
Given a G.P. such that a₈ = 192 and r = 2
a_n = a . r^n-1
a₈ = a . (2)^8-1 = 192

= 3 × 2¹⁰ = 3 × 1024 = 3072.

Question 6.
The 4^th term of a geometric progression is 23 and the seventh term is 1681. Find the geometric series.
Answer:
Given: In a G.P.

Now substituting r = 23 in equation (1)
we get,

Question 7.
If the geometric progressions 162, 54, 18, ….. and 281, 227, 29,….. have their n^th term equal, find the value of n.
Answer:
Given G.P.: 162, 54, 18, ….. and 281, 227, 29,……

Given that n^th terms are equal
a_n = a . r^n-1

⇒ 3^n-1+n-1 = 81 × 81
⇒ 3^2n-2 = 3⁴ × 3⁴
⇒ 3^2n-2 = 3⁸ [∵ a^m . aⁿ = a^m+n]
⇒ 2n – 2 = 8
[∵ bases are equal, exponents are also equal]
2n = 8 + 2
⇒ n = 102 = 5
The 5^th terms of the two G.P.s are equal.

AP Board Textbook Solutions PDF for Class 10th Maths

AP Board Class 10 Maths Chapter 1 Real Numbers Textbook Solutions PDF

AP Board Class 10 Maths Chapter 2 Sets Textbook Solutions PDF

AP Board Class 10 Maths Chapter 3 Polynomials Textbook Solutions PDF

AP Board Class 10 Maths Chapter 4 Pair of Linear Equations in Two Variables Textbook Solutions PDF

AP Board Class 10 Maths Chapter 5 Quadratic Equations Textbook Solutions PDF

AP Board Class 10 Maths Chapter 6 Progressions Textbook Solutions PDF

AP Board Class 10 Maths Chapter 7 Coordinate Geometry Textbook Solutions PDF

AP Board Class 10 Maths Chapter 8 Similar Triangles Textbook Solutions PDF

AP Board Class 10 Maths Chapter 9 Tangents and Secants to a Circle Textbook Solutions PDF

AP Board Class 10 Maths Chapter 10 Mensuration Textbook Solutions PDF

AP Board Class 10 Maths Chapter 11 Trigonometry Textbook Solutions PDF

AP Board Class 10 Maths Chapter 12 Applications of Trigonometry Textbook Solutions PDF

AP Board Class 10 Maths Chapter 13 Probability Textbook Solutions PDF

AP Board Class 10 Maths Chapter 14 Statistics Textbook Solutions PDF

Andhra Pradesh Board Class 10th Maths Chapter 6 Progressions Ex 6.5 Textbooks for Exam Preparations

Andhra Pradesh Board Class 10th Maths Chapter 6 Progressions Ex 6.5 Textbook Solutions can be of great help in your Andhra Pradesh Board Class 10th Maths Chapter 6 Progressions Ex 6.5 exam preparation. The AP Board STD 10th Maths Chapter 6 Progressions Ex 6.5 Textbooks study material, used with the English medium textbooks, can help you complete the entire Class 10th Maths Chapter 6 Progressions Ex 6.5 Books State Board syllabus with maximum efficiency.

FAQs Regarding Andhra Pradesh Board Class 10th Maths Chapter 6 Progressions Ex 6.5 Textbook Solutions

How to get AP Board Class 10th Maths Chapter 6 Progressions Ex 6.5 Textbook Answers??

Students can download the Andhra Pradesh Board Class 10 Maths Chapter 6 Progressions Ex 6.5 Answers PDF from the links provided above.

Can we get a Andhra Pradesh State Board Book PDF for all Classes?

Yes you can get Andhra Pradesh Board Text Book PDF for all classes using the links provided in the above article.

Important Terms

Andhra Pradesh Board Class 10th Maths Chapter 6 Progressions Ex 6.5, AP Board Class 10th Maths Chapter 6 Progressions Ex 6.5 Textbooks, Andhra Pradesh State Board Class 10th Maths Chapter 6 Progressions Ex 6.5, Andhra Pradesh State Board Class 10th Maths Chapter 6 Progressions Ex 6.5 Textbook solutions, AP Board Class 10th Maths Chapter 6 Progressions Ex 6.5 Textbooks Solutions, Andhra Pradesh Board STD 10th Maths Chapter 6 Progressions Ex 6.5, AP Board STD 10th Maths Chapter 6 Progressions Ex 6.5 Textbooks, Andhra Pradesh State Board STD 10th Maths Chapter 6 Progressions Ex 6.5, Andhra Pradesh State Board STD 10th Maths Chapter 6 Progressions Ex 6.5 Textbook solutions, AP Board STD 10th Maths Chapter 6 Progressions Ex 6.5 Textbooks Solutions,

HSSlive: Plus One & Plus Two Notes & Solutions for Kerala State Board

Hsslive.co.in: Kerala Higher Secondary News, Plus Two Notes, Plus One Notes, Plus two study material, Higher Secondary Question Paper.

Thursday, June 9, 2022