ICSE Question Bank

Examined in

6 of 11 papers

Appears occasionally

Typically worth

3.5 marks

Average per paper it appears in · 21 marks in total

Usual form

Numerical

73% of this chapter's 11 questions

Needs a diagram

0%

No diagram questions in this chapter

Question-type distribution

Numerical8
Short answer2
Assertion-Reason1

Most frequent topics

Geometric progression 11

Print:Questions only Questions + answers Answers only

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Showing 11 of 11 matching questions (21 marks).

11 questions

1

Choose the correct answers to the questions from the given options. (Do not copy the questions, write the correct answers only.)

1(xv)2026

Assertion-ReasonEasy1 mark

Assertion (A): The 9th term of a Geometric Progression (G.P.) 6, −12, 24, −48, ... is a positive term. Reason (R): The value of (−2)⁸ is always positive. (A) is true and (R) is false. (A) is false and (R) is true. Both (A) and (R) are true and (R) is the correct explanation of (A). Both (A) and (R) are true but (R) is not the correct explanation of (A).

(a)(A) is true and (R) is false.
(b)(A) is false and (R) is true.
(c)Both (A) and (R) are true and (R) is the correct explanation of (A).
(d)Both (A) and (R) are true but (R) is not the correct explanation of (A).

8(ii)

The fourth term of a Geometric Progression (G.P.) is 16 and its seventh term is 128. Find its:

8(ii)(a)2026

NumericalModerate2 marks

common ratio

8(ii)(b)2026

Short answerEasy1 mark

first term

10(i)

If 1701 is the nth term of the Geometric Progression (G.P.) 7, 21, 63......, find :

10(i)(a)2025

NumericalModerate1.5 marks

the value of 'n'

10(i)(b)2025

NumericalModerate1.5 marks

hence find the sum of the 'n' terms of the G.P.

2(iii)

15, 30, 60, 120 ...... are in G.P. (Geometric Progression).

2(iii)(a)2024

NumericalModerate2 marks

Find the nth term of this G.P. in terms of n.

2(iii)(b)2024

Short answerModerate2 marks

How many terms of the above G.P. will give the sum 945 ?

NumericalHard4 marks

The 4th, 6th and the last term of a geometric progression are 10, 40 and 640 respectively. If the common ratio is positive, find the first term, common ratio and the number of terms of the series.

6(b)

The first and last term of a Geometrical Progression (G.P.) are 3 and 96 respectively. If the common ratio is 2, find:

6(b)(i)2019

NumericalModerate1.5 marks

‘n’ the number of terms of the G.P.

6(b)(ii)2019

NumericalModerate1.5 marks

Sum of the n terms.

5(a)2018

NumericalModerate3 marks

The 4th term of a G.P. is 16 and the 7th term is 128. Find the first term and common ratio of the series.