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Magazine Problem 18
Write the first five terms of each geometric sequence with the given properties and then find the specified term. See Example 1. First term: \(8,\) common ratio: \(\frac{1}{2} ;\) find the 10 th term
Problem 19
Write the first five terms of each sequence and then find the specified term. $$ a_{n}=-3 n+1, a_{30} $$
Problem 19
Fill in the blanks. The exponent on \(a\) in the fifth term of the expansion of \((a+b)^{6}\) is _____ and the exponent on \(b\) is ____.
Problem 19
Find the specified term of the geometric sequence with the following properties. See Example 2. The first three terms are \(2,6,18 ;\) find the 7 th term
Problem 20
Find the specified term of the geometric sequence with the following properties. See Example 2. The first three terms are \(50,100,200 ;\) find the \(10 \mathrm{th}\) term
Problem 20
Write the first five terms of each sequence and then find the specified term. $$ a_{n}=-6 n+2, a_{15} $$
Problem 21
Find the specified term of the geometric sequence with the following properties. See Example 2. The first three terms are \(\frac{1}{2},-\frac{5}{2}, \frac{25}{2} ;\) find the 6 th term
Problem 21
Write the first five terms of each sequence and then find the specified term. $$ a_{n}=-n^{2}, a_{20} $$
Problem 22
Write the first five terms of each sequence and then find the specified term. $$ a_{n}=-n^{3}, a_{10} $$
Problem 22
Find the specified term of the geometric sequence with the following properties. See Example 2. The first three terms are \(\frac{1}{4},-\frac{3}{4}, \frac{9}{4} ;\) find the 9 th term
