Question

Write an arithmetic series for which $S_5=10$

Short answer

The arithmetic series is-2+0+2+4+6.

Step-by-step solution

Step 1. Given Information.

Given an arithmetic series has $S_5=10$.

Step 2. Calculation.

Let a series begin an -2 with common difference of 2:

So, the 5 terms would be -2,0,2,4,6

Hence the series is -2+0+2+4+6.

The sum is -2+0+2+4+6=10

Step 3. Conclusion.

Hence, the required arithmetic series is -2+0+2+4+6.