Use Summation Notation
-$$\sum _ { \mathrm { i } = 1 } ^ { 5 } \frac { ( \mathrm { i } - 1 ) ! } { ( \mathrm { i } + 2 ) ! }$$
A) $\frac { 5 } { 21 }$
B) $\frac { 241 } { 140 }$
C) $\frac { 37 } { 30 }$
D) $\frac { 43 } { 20 }$

Question

Quizplus · Accepted Answer

The expression evaluates to $\frac{1}{6} + \frac{1}{24} + \frac{1}{120} + \frac{1}{720} + \frac{1}{5040}$, which simplifies to $\frac{5}{21}$.

Use Summation Notation - ∑i=15(i−1)!(i+2)!\sum _ { \mathrm { i } = 1 } ^ { 5 } \frac { ( \mathrm { i } - 1 ) ! } { ( \mathrm { i } + 2 ) ! }i=1∑5​(i+2)!(i−1)!​

Use Summation Notation
- $\sum _ { \mathrm { i } = 1 } ^ { 5 } \frac { ( \mathrm { i } - 1 ) ! } { ( \mathrm { i } + 2 ) ! }$