Evaluate the expression.
-$\sum _ { i = 8 } ^ { 11 } \frac { 1 } { i - 3 }$
A) 26
B) $\frac { 533 } { 840 }$
C) $\frac { 701 } { 1320 }$
D) $- \frac { 1755 } { 4096 }$

Question

Quizplus · Accepted Answer

The given expression is a sum from $i = 8$ to $i = 11$ of $\frac{1}{i - 3}$. Calculating each term individually: $\frac{1}{8 - 3} + \frac{1}{9 - 3} + \frac{1}{10 - 3} + \frac{1}{11 - 3} = \frac{1}{5} + \frac{1}{6} + \frac{1}{7} + \frac{1}{8}$. Finding a common denominator and adding these fractions results in $\frac{533}{840}$.

Evaluate the Expression ∑i=8111i−3\sum _ { i = 8 } ^ { 11 } \frac { 1 } { i - 3 }∑i=811​i−31​

Evaluate the Expression $\sum _ { i = 8 } ^ { 11 } \frac { 1 } { i - 3 }$