Write the series using summation notation.
-$$1 + \frac { 1 } { 2 ^ { 2 } } + \frac { 1 } { 3 ^ { 2 } } + \frac { 1 } { 4 ^ { 2 } } + \frac { 1 } { 5 ^ { 2 } }$$
A) $\sum _ { k = 0 } ^ { 5 } \frac { 1 } { k ^ { 2 } }$
B) $\sum _ { \mathrm { k } = 1 } ^ { \infty } \mathrm { k } ^ { 2 }$
C) $\sum _ { k = 1 } ^ { 5 } \frac { 1 } { k ^ { 2 } }$
D) $\sum _ { \mathrm { k } = 2 } ^ { 6 } \frac { 1 } { \mathrm { k } ^ { 2 } }$

Question

Quizplus · Accepted Answer

The series is a sum of the reciprocals of the squares of the first five positive integers, starting from 1, which matches option C.

Write the Series Using Summation Notation 1+122+132+142+1521 + \frac { 1 } { 2 ^ { 2 } } + \frac { 1 } { 3 ^ { 2 } } + \frac { 1 } { 4 ^ { 2 } } + \frac { 1 } { 5 ^ { 2 } }1+221​+321​+421​+521​

Write the Series Using Summation Notation $1 + \frac { 1 } { 2 ^ { 2 } } + \frac { 1 } { 3 ^ { 2 } } + \frac { 1 } { 4 ^ { 2 } } + \frac { 1 } { 5 ^ { 2 } }$