What is the sum (100+k), if k goes from 1 to 100?

We have to find the value of Sum(100 + k), for k = 1 to
100

Sum(100 + k), k = 1 to
100

=> 100*100 + Sum(k), k = 1 to
100

The sum of the numbers from 1 to n is given by n*(n +
1)/2

=> 100*100 +
100*101/2

=> 10000 +
5050

=>
15050

The required sum is
15050.