NCERT Class 11 Mathematics Solutions: Chapter 9 –Sequences and Series Miscellaneous Exercise 9 Part 7

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Understanding of sequence and series

Understanding of Sequence and Series

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1. If then show that are in G.P.


It is given that,

…………… eq (1)


………………..eq (2)

From eq (1) and (2)

So, are in G.P.

2. Let be the sum, the product and the sum of reciprocals of n terms in a G.P. Prove that:


Consider the G.P. be

According to the given information,

[Sum of first natural numbers is ]

[ forms a G.P.]