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

Understanding of sequence and series

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

Answer:

It is given that,

…………… eq (1)

Also,

………………..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:

Answer:

Consider the G.P. be

According to the given information,

[Sum of first natural numbers is ]

[ forms a G.P.]

So,