Q. 175.0( 2 Votes )

# Find the sum of the series:

…. To n terms

Answer :

In the given question we need to find the sum of the series.

For that, first, we need to find the n^{th} term of the series so that we can use summation of the series with standard identities and get the required sum.

The series given is ….to n terms.

The series can be written as,….

So, n^{th} term of the series,

By the method of partial fractions, we can factorize the above term.

→ (1)

→ (2)

.

.

.

→ (n-1)^{th} equation

→ n^{th} equation

Now, we need to find the sum of this series, S_{n.}

This can be found out by adding the equation (1), (2)…up to n^{th} term.

So, Sum of the series,

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