수열 전체 문제

Adam just got his first full-time job after graduating from high school at age 17. He decided to invest $\char36 300$ per month in an IRA (an annuity). The interest on the annuity is $7\%$ which is compounded monthly. How much will be in Adam’s account when he retires at his sixty-seventh birthday?

Use Pascal’s Triangle to Expand a Binomial

In the following exercises, expand each binomial using Pascal’s Triangle.

${(a+b)}^{7}$

Use Pascal’s Triangle to Expand a Binomial

In the following exercises, expand each binomial using Pascal’s Triangle.

${(x-y)}^{4}$

Use Pascal’s Triangle to Expand a Binomial

In the following exercises, expand each binomial using Pascal’s Triangle.

${(x+6)}^{3}$

Use Pascal’s Triangle to Expand a Binomial

In the following exercises, expand each binomial using Pascal’s Triangle.

${(2y-3)}^{5}$

Use Pascal’s Triangle to Expand a Binomial

In the following exercises, expand each binomial using Pascal’s Triangle.

${(7x+2y)}^{3}$

Evaluate a Binomial Coefficient

In the following exercises, evaluate.

ⓐ $\left(\begin{array}{c}11 \\ 1\end{array}\right)$ ⓑ $\left(\begin{array}{c}12 \\ 12\end{array}\right)$ ⓒ $\left(\begin{array}{c}13 \\ 0\end{array}\right)$ ⓓ $\left(\begin{array}{c}8 \\ 3\end{array}\right)$

Evaluate a Binomial Coefficient

In the following exercises, evaluate.

ⓐ $\left(\begin{array}{c}7 \\ 1\end{array}\right)$ ⓑ $\left(\begin{array}{c}5 \\ 5\end{array}\right)$ ⓒ $\left(\begin{array}{c}9 \\ 0\end{array}\right)$ ⓓ $\left(\begin{array}{c}9 \\ 5\end{array}\right)$

Evaluate a Binomial Coefficient

In the following exercises, evaluate.

ⓐ $\left(\begin{array}{c}1 \\ 1\end{array}\right)$ ⓑ $\left(\begin{array}{c}15 \\ 15\end{array}\right)$ ⓒ $\left(\begin{array}{c}4 \\ 0\end{array}\right)$ ⓓ $\left(\begin{array}{c}11 \\ 2\end{array}\right)$

Use the Binomial Theorem to Expand a Binomial

In the following exercises, expand each binomial, using the Binomial Theorem.

${(p+q)}^{6}$

Use the Binomial Theorem to Expand a Binomial

In the following exercises, expand each binomial, using the Binomial Theorem.

${(t-1)}^{9}$

Use the Binomial Theorem to Expand a Binomial

In the following exercises, expand each binomial, using the Binomial Theorem.

${(2x+1)}^{4}$

Use the Binomial Theorem to Expand a Binomial

In the following exercises, expand each binomial, using the Binomial Theorem.

${(4x+3y)}^{4}$

Use the Binomial Theorem to Expand a Binomial

In the following exercises, expand each binomial, using the Binomial Theorem.

${(x-3y)}^{5}$

In the following exercises, find the indicated term in the expansion of the binomial.

Seventh term of ${(a+b)}^{9}$

In the following exercises, find the indicated term in the expansion of the binomial.

Third term of ${(x-y)}^{7}$

In the following exercises, find the coefficient of the indicated term in the expansion of the binomial.

${y}^{4}$ term of ${(y+3)}^{6}$

In the following exercises, find the coefficient of the indicated term in the expansion of the binomial.

${x}^{5}$ term of ${(x-2)}^{8}$

In the following exercises, find the coefficient of the indicated term in the expansion of the binomial.

${a}^{3}{b}^{4}$ term of ${(2a+b)}^{7}$

In the following exercises, write the first five terms of the sequence whose general term is given.

${a}_{n}=\frac{5n-3}{{3}^{n}}$