Write the first three terms of the sequence. $a _ { n } = 1 - \frac { 3 } { n } + \frac { 5 } { n ^ { 2 } }$
A) $3 , \frac { 3 } { 4 } , - \frac { 13 } { 9 }$
B) $3 , \frac { 3 } { 4 } , \frac { 5 } { 9 }$
C) $3 , - \frac { 3 } { 4 } , \frac { 5 } { 9 }$
D) $3 , \frac { 1 } { 2 } , - \frac { 1 } { 3 }$
E) $3 , - \frac { 3 } { 4 } , - \frac { 13 } { 9 }$

Question

Quizplus · Accepted Answer

To find the first three terms, we substitute n = 1, n = 2, and n = 3.
When n = 1, we get $a_1 = 1 - \frac{3}{1} + \frac{5}{1^2} = 3$.
When n = 2, we get $a_2 = 1 - \frac{3}{2} + \frac{5}{2^2} = \frac{3}{4}$.
When n = 3, we get $a_3 = 1 - \frac{3}{3} + \frac{5}{3^2} = \frac{5}{9}$.
Therefore the first three terms are 3, $\frac{3}{4}$, and $\frac{5}{9}$.
So, the correct choice is B.

Write the First Three Terms of the Sequence an=1−3n+5n2a _ { n } = 1 - \frac { 3 } { n } + \frac { 5 } { n ^ { 2 } }an​=1−n3​+n25​

Write the First Three Terms of the Sequence $a _ { n } = 1 - \frac { 3 } { n } + \frac { 5 } { n ^ { 2 } }$