Find the indicated partial sum for the sequence with the given general term
-$\mathrm{s}_{3}, \mathrm{a}_{\mathrm{n}}=(\mathrm{n}+2)(\mathrm{n}-6)$
A) 46
B) -46
C) 98
D) -31

Question

Quizplus · Accepted Answer

To find the partial sum $s_3$, we need to calculate the sum of the first three terms of the sequence given by $a_n = (n+2)(n-6)$. Calculating each term: $a_1 = (1+2)(1-6) = 3(-5) = -15$, $a_2 = (2+2)(2-6) = 4(-4) = -16$, $a_3 = (3+2)(3-6) = 5(-3) = -15$. The partial sum $s_3 = a_1 + a_2 + a_3 = -15 - 16 - 15 = -46$.

Find the Indicated Partial Sum for the Sequence with the Given