# Test: Sequences I - Challenging

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Question 1:   What are the next two terms in the following sequence: $\frac{5}{7},1\frac{3}{7},2\frac{1}{7}$
$2\frac{5}{7},3\frac{3}{7}$
$3,3\frac{5}{7}$
$2\frac{6}{7},3\frac{4}{7}$
$3\frac{1}{7},3\frac{6}{7}$
Question 2:   What are the next two terms in the following sequence:$2,\frac{2}{3},-\frac{2}{3}$
$-2\frac{1}{3},-4$
$-2,-3\frac{1}{3}$
$-1\frac{1}{3},-2\frac{2}{3}$
$-1\frac{2}{3},-3$
Question 3:   What are the next two terms in the following sequence: $3,1,\frac{1}{3}$
$\frac{1}{9},\frac{1}{8}$
$0,-\frac{1}{3}$
$\frac{1}{9},\frac{1}{27}$
$\frac{1}{6},\frac{1}{9}$
Question 4:   What are the next two terms in the following sequence:$10,2\frac{1}{2},\frac{5}{8}$
$\frac{7}{32},\frac{11}{64}$
$\frac{5}{32},\frac{5}{128}$
$\frac{1}{16},\frac{1}{32}$
$\frac{3}{32},\frac{5}{64}$
Question 5:   What are the next two term in the following sequence: $1,1,2,3,5,8$
$12,17$
$13,21$
$13,19$
$12,19$
Question 6:   What are the next two terms in the following sequence: $1,3,6,10,15$
$20,25$
$19,25$
$21,28$
$20,26$
Question 7:   What are the first three terms of the sequence: $\frac{1}{3}\left(n+2\right)\left(n+5\right)$
$0,3\frac{1}{3},6$
$5\frac{2}{3},8,12\frac{2}{3}$
$3\frac{1}{3},6,9\frac{1}{3}$
$6,9\frac{1}{3},13\frac{1}{3}$
Question 8:   What are the first three terms of the sequence: $n\left(n+2\right)$
$3,6,13$
$3,8,15$
$0,3,8$
$0,1,3$
Question 9:   What are the first three terms of the sequence: $-\frac{1}{2}\left(5-n\right)\left(6-n\right)$
$-10,-7,-2$
$-10,-6,-3$
$-12,-7,-2$
$-10,-5,0$
Question 10:   What are the first three terms of the sequence:$-\frac{1}{4}\left(12-n\right)\left(n+8\right)$
$-24\frac{1}{2},-25,-25\frac{3}{4}$
$-24\frac{1}{2},-25\frac{1}{4},-26$
$-24\frac{3}{4},-25,-25\frac{1}{2}$
$-24\frac{3}{4},-25,-24\frac{3}{4}$