Question

Sum to n terms, the following series :3 + 15 + 35 + 63 +

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

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Solution:

The series given is 3, 15, 35, 63 … to n terms

We have to find the sum to n terms

Analyse the given series

Thus, we can see a square of increasing even numbers from 2 which are subtracted with 1

Therefore, nth term is given as:

Now, we need to find the sum of this series

We know that,

Sum of squares of first n natural numbers is:

Therefore,

On solving we get,

Thus the sum to n terms is found

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