Find the sum of the sequence.
-$$\sum _ { \mathrm { k } = 5 } ^ { 8 } \frac { 1 } { \mathrm { k } + 4 }$$
A) $- \frac { 197 } { 210 }$

B) $\frac { 624 } { 625 }$

C) 42

D) $\frac { 763 } { 1980 }$

Question

Find the sum of the sequence.
-$$\sum _ { \mathrm { k } = 5 } ^ { 8 } \frac { 1 } { \mathrm { k } + 4 }$$
A) $- \frac { 197 } { 210 }$

B) $\frac { 624 } { 625 }$

C) 42

D) $\frac { 763 } { 1980 }$

Quizplus · Accepted Answer

The sum of the sequence can be calculated by evaluating each term individually and then adding them together. The terms are:- For k=5: $\frac{1}{5+4} = \frac{1}{9}$- For k=6: $\frac{1}{6+4} = \frac{1}{10}$- For k=7: $\frac{1}{7+4} = \frac{1}{11}$- For k=8: $\frac{1}{8+4} = \frac{1}{12}$Adding these terms together gives: $\frac{1}{9} + \frac{1}{10} + \frac{1}{11} + \frac{1}{12} = \frac{763}{1980}$.

Find the Sum of the Sequence ∑k=581k+4\sum _ { \mathrm { k } = 5 } ^ { 8 } \frac { 1 } { \mathrm { k } + 4 }k=5∑8​k+41​

Find the Sum of the Sequence $\sum _ { \mathrm { k } = 5 } ^ { 8 } \frac { 1 } { \mathrm { k } + 4 }$