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# Python Program for Find sum of Series with the n-th term as n^2 â€“ (n-1)^2

In this article, we will learn about the solution to the problem statement given below:

## Problem statement

We are given an integer input n and we need to sum of all n terms where the n-th term in a series as expressed below −

Tn = n2 - (n-1)_{2}

We have direct formulas for computing the sum which includes the squared muktiolicaion of n which involves more time complexity . To reduce that we usr modular multiplication approach here

Now let's see the implementation −

## Example

# Python program to find sum of given # series. mod = 1000000007 def findSum(n): return ((n % mod) * (n % mod)) % mod # main() n = 229137999 print (findSum(n))

## Output

218194447

All the variables are declared in the global frame as shown in the figure given below −

## Conclusion

In this article, we learned about the approach to Find the sum of Series with the n-th term as n^2 – (n-1)^2

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