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# Selina solutions for Class 10 Maths chapter 11 - Geometric Progression

## Chapter 11: Geometric Progression

Exercise 11(A)Exercise 11(B)Exercise 11(C)Exercise 11(D)

#### Selina solutions for Class 10 Maths Chapter 11 Exercise Exercise 11(A) [Page 152]

Exercise 11(A) | Q 1.1 | Page 152

Find, which of the following sequence from a G.P. :
8, 24, 72, 216,................

Exercise 11(A) | Q 1.2 | Page 152

Find, which of the following sequence from a G.P. :
1/8, 1/24, 1/72, 1/216,................

Exercise 11(A) | Q 1.3 | Page 152

Find, which of the following sequence from a G.P. :
9, 12, 16, 24,................

Exercise 11(A) | Q 2 | Page 152

Find the 9th term of the series :
1, 4, 16, 64, ..........................

Exercise 11(A) | Q 3 | Page 152

Find the seventh term of the G.P. :
1, sqrt3,  3,  3sqrt3............

Exercise 11(A) | Q 4 | Page 152

Find the 8th term of the sequence:
3/4, 1 1/2, 3,..............

Exercise 11(A) | Q 5 | Page 152

Find the 10th term of the G.P. :
12, 4,1 1/3,................

Exercise 11(A) | Q 6 | Page 152

Find the nth term of the series:
1, 2, 4, 8, .......................

Exercise 11(A) | Q 7 | Page 152

Find the next three tearms of the sequence :
sqrt5, 5, 5sqrt5....................

Exercise 11(A) | Q 8 | Page 152

Find the sixth term of the series :
22, 23, 24,...................

Exercise 11(A) | Q 9 | Page 152

Find the seventh term of the G.P. :
sqrt3 + 1, 1, (sqrt3-1)/2,.........

Exercise 11(A) | Q 10 | Page 152

Find the G.P. whose first term is 64 and next term is 32.

Exercise 11(A) | Q 11 | Page 152

Find the next three terms of the series:
2/27, 2/9, 2/3,..............

Exercise 11(A) | Q 12 | Page 152

Find the next two terms of the series :
2 - 6 + 18 - 54............

#### Selina solutions for Class 10 Maths Chapter 11 Exercise Exercise 11(B) [Page 154]

Exercise 11(B) | Q 1 | Page 154

Which term of the G.P. :
-10, 5/sqrt3, -5/6,........... is -5/72?

Exercise 11(B) | Q 2 | Page 154

The fifth term of a G.P. is 81 and its second term is 24. find the geometric progression.

Exercise 11(B) | Q 3 | Page 154

Fourth and seventh terms of a G.P. are 1/18 and -1/486 respectively. Find the G.P.

Exercise 11(B) | Q 4 | Page 154

If the first and the third terms of a G.P. are 2 and 8 respectively. find its second term.

Exercise 11(B) | Q 5 | Page 154

The product of 3rd and 8th terms of a G.P. is 243. If its 4th term is 3, find its 7th term.

Exercise 11(B) | Q 6 | Page 154

Find the Geometric progression with 4th term = 54 and 7th term = 1458.

Exercise 11(B) | Q 7 | Page 154

Second term of a Geometric Progression is 6 and its fifth term is 9 times of its third term. Find the geometric progression. Consider that each term of the G.P. is positive.

Exercise 11(B) | Q 8 | Page 154

The fourth term, the seventh term and the last term of a geometric progression are 10, 80 and 2560 respectively, Find its first term, common ratio and number of term.

Exercise 11(B) | Q 9 | Page 154

If the 4th and 9th terms of a G.P. are 54 and 13122 respectively, find the G.P. Also, find its general term.

Exercise 11(B) | Q 10 | Page 154

The fifth, eight and eleventh terms of a geometric progression are p, q and r respectively. show that : q2 = pr.

#### Selina solutions for Class 10 Maths Chapter 11 Exercise Exercise 11(C) [Page 156]

Exercise 11(C) | Q 1 | Page 156

Find the seventh term from the end of the series :
sqrt2, 2, 2sqrt2,.......,32.

Exercise 11(C) | Q 2 | Page 156

Find the third term from the end of the G.P.

2/27, 2/9, 2/3,.........162

Exercise 11(C) | Q 3 | Page 156

For the G.P. 1/27, 1/9, 1/3,......81;
find the product of fourth term from the beginning and the fourth term from the end.

Exercise 11(C) | Q 4 | Page 156

If for a G.P., pth, qth and rth terms are a, b and c respectively ; prove that: (q - r) log a + (r - p) log b + (p + q) log c = 0

Exercise 11(C) | Q 5 | Page 156

If a, b and c are in G.P., prove that:

log a, log b and log c are in A.P.

Exercise 11(C) | Q 6 | Page 156

If each term of a G.P. is raised to the power x, show that the resulting sequence is also a G.P.

Exercise 11(C) | Q 7 | Page 156

If a, b and c are in A.P, a, x, b are in G.P. whereas b, y and c are also in G.P.
Show that: x2, b2, y2 are in A.P.

Exercise 11(C) | Q 8.1 | Page 156

If a,b,c are in G.P and a,x,b,y,c are in A.P prove that 1/x + 1/y = 2/b

Exercise 11(C) | Q 8.2 | Page 156

If a,b,c are in G.P and a,x,b,y,c are in A.P prove that a/x + c/y = 2

Exercise 11(C) | Q 9 | Page 156

If a, b and c are in A.P. and also in G.P., show that: a = b = c.

#### Selina solutions for Class 10 Maths Chapter 11 Exercise Exercise 11(D) [Page 161]

Exercise 11(D) | Q 1.1 | Page 161

Find the sum of G.P.:

1 + 3 + 9 + 27 + ………. to 12 terms

Exercise 11(D) | Q 1.2 | Page 161

Find the sum of G.P.:

0.3 + 0.03 + 0.003 + 0.0003 +….. to 8 items.

Exercise 11(D) | Q 1.3 | Page 161

Find the sum of G.P.: 1 - 1/2 + 1/4 - 1/8 +......to 9 terms.

Exercise 11(D) | Q 1.4 | Page 161

Find the sum of G.P.: 1 - 1/3 + 1/3^2 - 1/3^3 +.........to n terms

Exercise 11(D) | Q 1.5 | Page 161

Find the sum of G.P.: (x + y)/(x - y) + 1 + (x - y)/(x + y) +.......upto n terms.

Exercise 11(D) | Q 1.6 | Page 161

Find the sum of G.P.: sqrt3 + 1/sqrt3 + 1/3sqrt3 +.......to n terms.

Exercise 11(D) | Q 2 | Page 161

How many terms of the geometric progression 1 + 4 + 16 + 64 + …….. must be added to get sum equal to 5461?

Exercise 11(D) | Q 3 | Page 161

The first term of a G.P is 27 and its 8th term is 1/81 Find the sum of its first 10 terms.

Exercise 11(D) | Q 4 | Page 161

A boy spends Rs.10 on first day, Rs.20 on second day, Rs.40 on third day and so on. Find how much, in all, will he spend in 12 days?

Exercise 11(D) | Q 5 | Page 161

The 4th and the 7th terms of a G.P are 1/27 and 1/729 respectively. Find the sum of n terms of this G.P.

Exercise 11(D) | Q 6 | Page 161

A geometric progression has common ratio = 3 and last term = 486. If the sum of its terms is 728; find its first term.

Exercise 11(D) | Q 7 | Page 161

Find the sum of G.P.: 3, 6, 12, …… 1536.

Exercise 11(D) | Q 8 | Page 161

How many terms of the series 2 + 6 + 18 +  …………… must be taken to make the sum equal to 728?

Exercise 11(D) | Q 9 | Page 161

In a G.P., the ratio between the sum of first three terms and that of the first six terms is 125 : 152. Find its common ratio.

Exercise 11(D) | Q 10 | Page 161

Find How many terms of G.P 2/9 - 1/3 + 1/2.........must be added to get the sum equal to 55/72?

Exercise 11(D) | Q 11 | Page 161

If the sum of 1+ 2 + 22 + ….. + 2n-1 is 255,find the value of n.

Exercise 11(D) | Q 12.1 | Page 161

Find the geometric mean between: 4/9 and 9/4

Exercise 11(D) | Q 12.2 | Page 161

Find the geometric mean between: 14 and 7/32

Exercise 11(D) | Q 12.3 | Page 161

Find the geometric mean between:

2a and 8a3

Exercise 11(D) | Q 13 | Page 161

The sum of three nu,bers in G.P is 39/10 and their product is 1. Find the numbers.

Exercise 11(D) | Q 14 | Page 161

The first term of a G.P. is -3 and the square of the second term is equal to its 4th term. Find its 7th term.

Exercise 11(D) | Q 15 | Page 161

Find the 5th term of the G.P. 5/2, 1,.........

Exercise 11(D) | Q 16 | Page 161

The first two terms of a G.P. are 125 and 25 respectively. Find the 5th and the 6th terms of the G.P.

Exercise 11(D) | Q 17 | Page 161

Find the sum of the sequence -1/3,1, -3, 9, ..........upto 8 terms.

Exercise 11(D) | Q 18 | Page 161

The first term of a G.P is 27 and its 8th term is 1/81 Find the sum of its first 10 terms.

Exercise 11(D) | Q 19 | Page 161

Find a G.P. for which the sum of first two terms is -4 and the fifth term is 4 times the third term.

## Chapter 11: Geometric Progression

Exercise 11(A)Exercise 11(B)Exercise 11(C)Exercise 11(D)

## Selina solutions for Class 10 Mathematics chapter 11 - Geometric Progression

Selina solutions for Class 10 Maths chapter 11 (Geometric Progression) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CISCE Selina ICSE Concise Mathematics for Class 10 solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Class 10 Mathematics chapter 11 Geometric Progression are Geometric Progression - Finding Their General Term., Geometric Progression - Finding Sum of Their First āNā Terms, Simple Applications - Geometric Progression.

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