Q:

Write the sum using summation notation, assuming the suggested pattern continues.25 + 36 + 49 + 64 + ... + n2 + ...

Accepted Solution

A:
Answer:[tex]\sum_{n=5}^{\infty}n^2[/tex]Step-by-step explanation:The pattern given is:25+36+49+64+...+n^2+...The pattern can be written as(5)^2+(6)^2+(7)^2+(8)^2+.....+n^2+....The series is started with 5 and it continues up to infinity.The summation notation for the given series is:[tex]\sum_{n=5}^{\infty} n^2[/tex]n= 1 and goes up to infinity and the series is made up of taking square of n,