91Ó°ÊÓ

In the following exercises, find the sum of each infinite geometric series.

$1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{64}+⋯$

In the following exercises, find the sum of each infinite geometric series.

$-4+2-1+\frac{1}{2}-\frac{1}{4}+\frac{1}{8}-⋯$

In the following exercises, find the sum of each infinite geometric series.

$6+12+24+48+96+192+⋯$

In the following exercises, find the sum of each infinite geometric series.

$5+15+45+135+405+1215+…$

Find the sum of each infinite geometric series.

$1,024+512+256+128+64+32+.....$

Find the sum of each infinite geometric series:

$6,561+2187+729+243+81+27+...$

Write each repeating decimal as a fraction.

$0.\overline{3}$

Write each repeating decimal as a fraction.

$0.\overline{6}$

Write each repeating decimal as a fraction.

$0.\overline{7}$

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

$a_n=\frac{{\left(−1\right)}^{n+1}}{2n}$