# Test: Sequences II - Ambitious

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Question 1:   What are the next three terms of the sequence: $-\frac{1}{3}\left(n-5\right)\left(n+6\right)$
$9,8,6$
$9\frac{1}{3},8,6$
$10,9\frac{1}{3},8$
$12,8,6$
Question 2:   Find the ${6}^{th}$ term of the sequence: $\frac{1}{3}\left(n+1\right)$
$2\frac{2}{3}$
$2\frac{1}{3}$
$2$
$3$
Question 3:   Find the ${8}^{th}$ term of the sequence $-\frac{1}{2}\left(n-2\right)\left(n-3\right)$
$-15$
$-10$
$-12$
$-16$
Question 4:   Find the ${12}^{th}$ term of the sequence $2\left(n+1\right)\left(5-n\right)$
$-156$
$-144$
$-182$
$-166$
Question 5:   What term of the sequence $\frac{1}{2}n+8$ is $13$ ?
${10}^{th}$ term
${42}^{nd}$ term
${12}^{th}$ term
Question 6:   What term of the sequence $\left(n-2\right)\left(n-3\right)$ is $6$ ?
${5}^{th}$ term
${2}^{nd}$ term
${1}^{st}$ term
${3}^{rd}$ term
Question 7:   What term of the sequence $2n+1$ is $15$ ?
${8}^{th}$ term
${7}^{th}$ term
${9}^{th}$ term
${6}^{th}$ term
Question 8:   Find the ${n}^{th}$ term of the sequence: $1,4,9,16$
${n}^{2}$
$\left(n+1\right)\left(n-1\right)$
${n}^{2}-1$
$2n-1$
Question 9:   Find the ${n}^{th}$ term of the sequence: $2,8,18,32$
$2{n}^{2}+1$
${n}^{2}+2$
$2{n}^{2}$
${n}^{2}+1$
Question 10:   Find the ${n}^{th}$ term of the sequence: $0,3,8,15$
$\left(n+1\right)\left(n-2\right)$
$2{n}^{2}-1$
$2{n}^{2}-2$
${n}^{2}-1$