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# Selina solutions for Concise Mathematics Class 10 ICSE chapter 11 - Geometric Progression [Latest edition]

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## Chapter 11: Geometric Progression

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

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

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Concepts covered in Concise Mathematics Class 10 ICSE chapter 11 Geometric Progression are Geometric Progression - Finding Their General Term., Geometric Progression - Finding Sum of Their First ‘N’ Terms, Simple Applications - Geometric Progression.

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