# Practice Test A

In Problems 1 and 2, write the first five terms of each sequence. State whether the sequence is arithmetic or geometric.

${a}_{n}=3(5-4n)$

${a}_{n}=-3({2}^{n})$

Write the first five terms of the sequence defined by ${a}_{1}=-2\text{}$ and ${a}_{n}=3{a}_{n-1}+5\text{}$ for $n\ge 2.$

Evaluate $\frac{(n-1)!}{n!}}.$

Find ${a}_{7}$ for the arithmetic sequence with ${a}_{1}=-3$ and $d=4\text{}.$

Find ${a}_{8}$ for the geometric sequence with ${a}_{1}=13$ and $r=-{\displaystyle \frac{1}{2}}.$

In Problems 7–9, find each sum.

$\sum _{k=1}^{20}(3k-2)$

$\sum _{k=1}^{5}\left({\displaystyle \frac{3}{4}}\right)({2}^{-k})$

$\sum _{k=1}^{\infty}18{\left({\displaystyle \frac{1}{100}}\right)}^{k}};$ write the answer as a fraction in lowest terms.

Evaluate $\left(\begin{array}{c}13\\ 0\end{array}\right)$

Expand ${(1-2x)}^{4}.$

Find the term containing ${x}^{1}$ in the expansion of ${(2x+1)}^{4}.$

In how many ways can you answer every question on a true–false test containing ten questions?

In Problems 14 and 15, evaluate each expression.

`P`(9, 2)`C`(7, ...

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