Find the sum given below. $$\sum _ { k = 3 } ^ { 5 } \frac { 5 } { k ^ { 2 } }$$
A) $\frac { 3845 } { 144 }$
B) $\frac { 769 } { 3600 }$
C) $\frac { 769 } { 720 }$
D) $\frac { 553 } { 720 }$
E) $\frac { 769 } { 80 }$

Question

Quizplus · Accepted Answer

We have $$\sum _ { k = 3 } ^ { 5 } \frac { 5 } { k ^ { 2 } }=\frac{5}{3^2}+\frac{5}{4^2}+\frac{5}{5^2}=\frac{5}{9}+\frac{5}{16}+\frac{5}{25}=\frac{769}{720}$$ Therefore, the answer is (C).

Find the Sum Given Below ∑k=355k2\sum _ { k = 3 } ^ { 5 } \frac { 5 } { k ^ { 2 } }k=3∑5​k25​

Find the Sum Given Below $\sum _ { k = 3 } ^ { 5 } \frac { 5 } { k ^ { 2 } }$