Write the sum using summation notation.
-$$\frac { x ^ { 2 } } { 1 } + \frac { x ^ { 4 } } { 2 } + \frac { x ^ { 6 } } { 6 } + \frac { x ^ { 8 } } { 24 } + \frac { x ^ { 10 } } { 120 }$$
A) $\sum _ { i = 1 } ^ { 5 } \frac { x ^ { 2 i } } { i ! }$
B) $\sum _ { i = 0 } ^ { 4 } \frac { x ^ { 2 i } } { i ! }$
C) $\sum _ { i = 1 } ^ { 5 } \frac { x ^ { 2 i } } { 2 ^ { i - 1 } }$
D) $\sum _ { i = 0 } ^ { 4 } \frac { x ^ { 2 i } } { ( i + 1 ) ! }$

Question

Quizplus · Accepted Answer

The given series can be represented by the summation notation where each term is of the form $\frac{x^{2i}}{i!}$, starting from $i=1$ to $i=5$, matching the pattern of the series provided.

Write the Sum Using Summation Notation x21+x42+x66+x824+x10120\frac { x ^ { 2 } } { 1 } + \frac { x ^ { 4 } } { 2 } + \frac { x ^ { 6 } } { 6 } + \frac { x ^ { 8 } } { 24 } + \frac { x ^ { 10 } } { 120 }1x2​+2x4​+6x6​+24x8​+120x10​

Write the Sum Using Summation Notation $\frac { x ^ { 2 } } { 1 } + \frac { x ^ { 4 } } { 2 } + \frac { x ^ { 6 } } { 6 } + \frac { x ^ { 8 } } { 24 } + \frac { x ^ { 10 } } { 120 }$