Question

Write each of the sums in Exercises 28 in sigma notation. Identify $m$, $n$, and $a_k$in each problem.

$-2^n-1^n+0^n+1^n+\cdots +n^n$

Short answer

Here,$m=-2,n=n$and$a_k=k^n$

$\sum _{k=-2}^n{k}^n$

Step-by-step solution

Given information

The given series is$-2^n-1^n+0^n+1^n+\cdots +n^n$.

Write the series in term of summation

Rewrite the given series in term of summation.

$-2^n-1^n+0^n+1^n+\cdots +n^n=\sum _{k=-2}^n{k}^n$

Write the conclusion

The summation is$\sum _{k=-2}^n{k}^n$.