Question

Evaluate r=5

Answer 1

Answer:

$\sum (r+1)^2 = 90$

Step-by-step explanation:

Given

$\sum (r+1)^2; r = 1,2....5$

Required

Evaluate

$\sum (r+1)^2; r = 1,2....5$ is equivalent to :

$(1 + 1)^2 +(2 + 1)^2 +(3 + 1)^2 +(4 + 1)^2 +(5 + 1)^2$

$(2)^2 +(3)^2 +(4)^2 +(5)^2 +(6)^2$

$4 + 9 + 16 + 25 + 36$

$90$

Hence:

$\sum (r+1)^2 = 90$