NCERT Class 11 Mathematics Solutions: Chapter 9 –Sequences and Series Miscellaneous Exercise 9.4 Part 2

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In figure sum of a Geometric Series is shown.

Sum of a Geometric Series

In figure sum of a Geometric Series is shown.

1.

Answer:

Consider,

Now sum of infinite term

2. Prove that:

Answer:

Using Formula

So, proved.

3. Let where

Prove that:

Answer:

Here,

[Using ]

And

LHS

[Using ]

RHS [Using ]…..eq (1)

…………eq (2)

From eq (1) and (2)