Write the first five terms of the sequence of partial sums. $2 + \frac { 2 } { 4 } + \frac { 2 } { 9 } + \frac { 2 } { 16 } + \frac { 2 } { 25 } + L$
A) $2 , \frac { 5 } { 3 } , \frac { 49 } { 16 } , \frac { 205 } { 66 } , \frac { 5269 } { 1600 }$
B) $2 , \frac { 1 } { 2 } , \frac { 2 } { 9 } , \frac { 1 } { 8 } , \frac { 2 } { 25 }$
C) $2 , \frac { 5 } { 2 } , \frac { 49 } { 18 } , \frac { 205 } { 72 } , \frac { 5269 } { 1800 }$
D) $2 , \frac { 7 } { 2 } , \frac { 55 } { 18 } , \frac { 215 } { 72 } , \frac { 53 } { 18 }$
E) $2 , \frac { 1 } { 1 } , \frac { 45 } { 16 } , \frac { 100 } { 33 } , \frac { 105 } { 32 }$

Question

Quizplus · Accepted Answer

The sequence of partial sums is calculated by adding each term of the sequence to the sum of all previous terms. The first term is 2. The second term is $2 + \frac{2}{4} = \frac{5}{2}$. The third term is $\frac{5}{2} + \frac{2}{9} = \frac{49}{18}$. The fourth term is $\frac{49}{18} + \frac{2}{16} = \frac{205}{72}$. The fifth term is $\frac{205}{72} + \frac{2}{25} = \frac{5269}{1800}$.

Write the First Five Terms of the Sequence of Partial 2+24+29+216+225+L2 + \frac { 2 } { 4 } + \frac { 2 } { 9 } + \frac { 2 } { 16 } + \frac { 2 } { 25 } + L2+42​+92​+162​+252​+L

Write the First Five Terms of the Sequence of Partial $2 + \frac { 2 } { 4 } + \frac { 2 } { 9 } + \frac { 2 } { 16 } + \frac { 2 } { 25 } + L$