Question

Please help!! Will Medal!!!

Expand and evaluate the following series, where n = 5 and ai = 2 i2 + 3. What is the sum?

Answer 1

125

Answer 2

here\[\sum_{1}^{5}2i^2+3=3(n)+2\sum_{1}^{5}i^2\]

use sum of squares formula

Answer 3

required sum
=2*5*6*11/2 +3*5

Answer 4

15+2*(\[\sum_{1}^{5}i^2\])

sum of squares formula= n(n+1)(2n+1)/6
here n=5