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Problem 3

Match the expression with the most appropriate expression from the column on the right. _____\(5+10+15+20\) a) \(-1+1+(-1)+1\) b) \(a_{2}=25\) c) \(a_{2}=8\) d) \(\sum_{k=1}^{4} 5 k\) e) \(S_{3}\) f) \(1+4+9+16\)

Problem 3

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

Problem 4

Complete each of the following statements. The expression _______________ represents \(4 \cdot 3 \cdot 2 \cdot 1\).

Problem 5

Classify each of the following as an arithmetic sequence, a geometric sequence, an arithmetic series, a geometric series, or none of these. $$ 4+20+100+500+2500+12,500 $$

Problem 5

Classify each of the following statements as either true or false. The sum of the first 20 terms of an arithmetic sequence can be found by knowing just \(a_{1}\) and \(a_{20}\).

Problem 6

Complete each of the following statements. In the expansion of \((a+b)^{10},\) the coefficient of \(b^{10}\) is_______________.

Problem 6

Classify each of the following as an arithmetic sequence, a geometric sequence, an arithmetic series, a geometric series, or none of these. $$ 10+12+14+16+18+20 $$

Problem 6

Classify each of the following statements as either true or false. The sum of the first 30 terms of an arithmetic sequence can be found by knowing just \(a_{1}\) and \(d\) the common difference.

Problem 7

Find the indicated term of each sequence. $$ a_{n}=2 n-3 ; a_{8} $$

Problem 7

Classify each of the following as an arithmetic sequence, a geometric sequence, an arithmetic series, a geometric series, or none of these. $$ 3-\frac{3}{2}+\frac{3}{4}-\frac{3}{8}+\frac{3}{16}-\cdots $$

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