91Ó°ÊÓ

\(8,16,32,64,128, \dots\) is an example of a __________ sequence The first _________ is 8 and the common _______ is 2

Fill in the blanks. The array of numbers that gives the coefficients of the terms of a binomial expansion is called ____ triangle.

Given the geometric sequence \(1,2,4,8,16,32, \ldots,\) find \(a_{5}\) and \(r\)

Write the first three terms of an arithmetic sequence if \(a_{1}=1\) and \(d=6\).

Write the first five terms of each geometric sequence with the given properties and then find the specified term. First term: \(-2,\) common ratio: \(2 ;\) find the 8 th term

Fill in the blanks. The coefficient of the fourth term of the expansion of \((a+b)^{9}\) is \(9 !\) divided by \(3 !(-\quad) !\)

Fill in the blanks. The expansion of \((a-b)^{4}\) is $$ a^{4} \quad 4 a^{3} b \quad 6 a^{2} b^{2} \quad 4 a b^{3} \quad b^{4} $$

Use Pascal's triangle to expand each binomial. See Examples 1 and 2. $$ (m-p)^{5} $$

Write the first five terms of each arithmetic sequence with the given properties and find the specified term. See Example 3. First term: \(3,\) common difference: \(2 ;\) find the 10 th term.

Write the first five terms of each arithmetic sequence with the given properties and find the specified term. See Example 3. First term: \(-5,\) common difference: \(-3 ;\) find the 15 th term.