Question 18 (1 point) Evaluate sum _(i=1)^n(i+1)= (n^2+2n)/(2) (n^2+n)/(2) (n^2+3n)/(2) (n^2+3)/(2) infty

Name: Question 18 (1 Point) Evaluate Sum _(i=1)^n(i+1)= (n^2+2n)/(2) (n^2+n)/(2) (n^2+3n)/(2) (n^2+3)/(2) Infty
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Question

Question 18 (1 point) Evaluate sum _(i=1)^n(i+1)= (n^2+2n)/(2) (n^2+n)/(2) (n^2+3n)/(2) (n^2+3)/(2) infty

Answer 1

## Step 1: Separate the Summation### We can separate the summation into two parts:

.## Step 2: Evaluate the Summations### We know that

and

. Therefore,

.## Step 3: Simplify the Expression### Simplify the expression by finding a common denominator:

.

Question

Question 18 (1 point) Evaluate sum _(i=1)^n(i+1)= (n^2+2n)/(2) (n^2+n)/(2) (n^2+3n)/(2) (n^2+3)/(2) infty

Solution

Answer

Explanation