# Test: Sequences II - Challenging

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Question 1:   What are the next three terms of the sequence: $\frac{1}{5}\left(13-n\right)\left(12+n\right)$
$31\frac{1}{5},30\frac{4}{5},32$
$31\frac{1}{5},30\frac{4}{5},29\frac{3}{5}$
$31\frac{1}{5},30\frac{4}{5},30$
$31\frac{1}{5},31\frac{1}{5},30\frac{4}{5}$
Question 2:   Find the ${100}^{th}$ term of the sequence: $-\frac{1}{5}\left(n+12\right)$
$-24\frac{1}{5}$
$-22\frac{2}{5}$
$-23\frac{3}{5}$
$-19\frac{2}{3}$
Question 3:   Find the ${30}^{th}$ term of the sequence: $-\frac{2}{3}\left(n-17\right)\left(5-n\right)$
$-215\frac{1}{3}$
$216\frac{2}{3}$
$-216\frac{2}{3}$
$215\frac{1}{3}$
Question 4:   Find the ${15}^{th}$ term of the sequence $\frac{2}{7}\left(n-8\right)\left(n-6\right)$
$20$
$15$
$18$
$22$
Question 5:   What term of the sequence $2\left(n-1\right)\left(n-3\right)$ is $16$ ?
${5}^{th}$ term
${2}^{nd}$ term
${1}^{st}$ term
${3}^{rd}$ term
Question 6:   What term of the sequence $-\frac{1}{2}\left(n+2\right)\left(n+3\right)$ is $-6$ ?
${3}^{rd}$ term
${2}^{nd}$ term
${1}^{st}$ term
Question 7:   Find the ${n}^{th}$ term of the sequence: $6,12,20,30$
$6{n}^{2}$
${n}^{2}$
${n}^{2}+n+4$
${n}^{2}+3n+2$
Question 8:   Find the ${n}^{th}$ term of the sequence: $-30,-32,-30,-24$
$2{n}^{2}-6n-26$
$2{n}^{2}-10n-22$
$2{n}^{2}-8n-24$
$2{n}^{2}-12n-20$
Question 9:   Find the $2{n}^{2}$ term of the sequence: $6,10,15,21$
${n}^{2}+n+4$
${n}^{2}+2n+3$
$\frac{1}{2}{n}^{2}+2\frac{1}{2}n+3$
$\frac{1}{2}{n}^{2}+\frac{1}{2}n+5$
Question 10:   Find the ${n}^{th}$ term of the sequence: $-6\frac{2}{3},-10,-14,-18\frac{2}{3}$
$-\frac{1}{3}{n}^{2}-2\frac{1}{3}n-4$
$-{n}^{2}-5n-\frac{2}{3}$
$-\frac{1}{6}{n}^{2}-3\frac{1}{3}n-3\frac{1}{6}$
$-\frac{1}{9}{n}^{2}-1\frac{1}{3}n-5\frac{2}{9}$