The general term of a sequence is given. Find the indicated partial sum.
-$$a _ { n } = 5 n - 2 ; S _ { 5 }$$
A)65
B)85
C)100
D)55

Question

Quizplus · Accepted Answer

The general term of the sequence is $a_n = 5n - 2$. To find the fifth partial sum $S_5$, we sum the first five terms: $S_5 = a_1 + a_2 + a_3 + a_4 + a_5$. Substituting the given formula for each term, we get $S_5 = (5(1)-2) + (5(2)-2) + (5(3)-2) + (5(4)-2) + (5(5)-2) = 3 + 8 + 13 + 18 + 23 = 65$.

The General Term of a Sequence Is Given an=5n−2;S5a _ { n } = 5 n - 2 ; S _ { 5 }an​=5n−2;S5​

The General Term of a Sequence Is Given $a _ { n } = 5 n - 2 ; S _ { 5 }$