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Geometric Progression: Questions Based On GP Series

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16 views1 page

Geometric Progression: Questions Based On GP Series

Uploaded by

manomayshrivastava
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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Geometric Progression

Questions based on GP series


1. Find which of the following is a GP
1 2 4
(i) 2, 2√2, 4, 4√2, … … (ii) , , 1, (iii) 𝑥𝑦, 𝑥 2 𝑦, 𝑥 3 𝑦, … …
3 3 3

2. Find next 3 terms of the sequence: 36, 12, 4, …….


5 3
3. − , 𝑥 and − are three consecutive terms of a GP. Find the value of 𝑥.
3 5

Questions based on general term of GP


1. If the first two consecutive term of a GP are 125 and 25, find its 6th term.
2. Find which term of GP 3, -6, 12, -24,…….. is -384 ? Also find 6th term
from the end given -384 is the last term.
3. The first term of a GP is 1. The sum of its 3rd term and 5th is 90. Find the
common ration of the GP.
4. If the 4th , 7th and 10th term of a GP are a, b, and c respectively; prove
that: 𝒃𝟐 = 𝒂𝒄
5. If the pth, qth and rth term are a, b and c respectively; prove that:
𝒂𝒒−𝒓 . 𝒃𝒓−𝒑 . 𝒄𝒑−𝒒 = 𝟏
Questions based on sum of GP
1. Find the sum of 2+6+18+54+…………+4374
2. Find the sum of 3+(-6) + 12+(-24) +……... +(-384)
3. The 10th, 16th and 22nd term of a GP are x, y and z respectively. Show that
x, y and z are in GP.
4. A GP has 1st term 𝑎 = 3, last term 𝑙 = 96 and sum of n term 𝑆 = 189.
Find the number of term in it.

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