Find the sum of the sequence.
-$$\sum _ { k = 2 } ^ { 5 } \frac { - 3 } { k }$$
A) $- \frac { 77 } { 20 }$

B) $- \frac { 45 } { 16 }$

C) $\frac { 447 } { 10 }$

D) $\frac { 17 } { 20 }$

Question

Find the sum of the sequence.
-$$\sum _ { k = 2 } ^ { 5 } \frac { - 3 } { k }$$
A) $- \frac { 77 } { 20 }$

B) $- \frac { 45 } { 16 }$

C) $\frac { 447 } { 10 }$

D) $\frac { 17 } { 20 }$

Quizplus · Accepted Answer

The sum of the sequence is calculated by substituting the values of $k$ from 2 to 5 into the given formula $\frac{-3}{k}$ and adding the results together: $\frac{-3}{2} + \frac{-3}{3} + \frac{-3}{4} + \frac{-3}{5} = -\frac{3}{2} - 1 - \frac{3}{4} - \frac{3}{5}$. Finding a common denominator and adding these fractions gives $-\frac{77}{20}$.

Find the Sum of the Sequence ∑k=25−3k\sum _ { k = 2 } ^ { 5 } \frac { - 3 } { k }k=2∑5​k−3​

Find the Sum of the Sequence $\sum _ { k = 2 } ^ { 5 } \frac { - 3 } { k }$