91Ó°ÊÓ

Classify each of the following as an arithmetic sequence, a geometric sequence, an arithmetic series, a geometric series, or none of these. $$ 2,6,18,54, \dots $$

Complete each of the following statements. The last term in the expansion of \((x+2)^{5}\) is _______________.

Classify each of the following statements as either true or false. In an arithmetic sequence, the difference between any two consecutive terms is always the same.

Match the expression with the most appropriate expression from the column on the right. _____\(\sum_{k=1}^{4} k^{2}\) a) \(-1+1+(-1)+1\) b) \(a_{2}=25\) c) \(a_{2}=8\) d) \(\sum_{k=1}^{4} 5 k\) e) \(S_{3}\) f) \(1+4+9+16\)

Classify each of the following as an arithmetic sequence, a geometric sequence, an arithmetic series, a geometric series, or none of these. $$ 3,5,7,9, \dots $$

Match the expression with the most appropriate expression from the column on the right. _____\(\sum_{k=3}^{6}(-1)^{k}\) a) \(-1+1+(-1)+1\) b) \(a_{2}=25\) c) \(a_{2}=8\) d) \(\sum_{k=1}^{4} 5 k\) e) \(S_{3}\) f) \(1+4+9+16\)

Classify each of the following statements as either true or false. In an arithmetic sequence, if \(a_{9}-a_{8}=4,\) then \(a_{13}-a_{12}=4\) as well.

Complete each of the following statements. The expansion of \((x+y)^{7},\) when simplified, contains a total of _______________ terms.

Complete each of the following statements. In the expansion of \((a+b)^{9},\) the exponents in each term add to _______________.

Classify each of the following statements as either true or false. In an arithmetic sequence containing 17 terms, the common difference is \(a_{17}-a_{1}\).