13. Sequences, Series, and the Binomial Theorem

Identify if each sequence is arithmetic, geometric, or neither.

$7,10,16,25,37,\dots$

Identify if each sequence is arithmetic, geometric, or neither.

$5,11,17,23,29,\dots$

Identify if each sequence is arithmetic, geometric, or neither.

$10,5,\frac{5}{2},\frac{5}{4},\dots$

Find the common ratio for the geometric sequence.

$3,12,48,192,\dots$

Find the common ratio for the geometric sequence.

$\frac{18}{5},\frac{6}{5},\frac{2}{5},\frac{2}{15},\dots$

Find the common ratio for the geometric sequence.

$0.8,0.12,0.018,0.0027,\dots$

Find the common ratio for the geometric sequence.

$6,-3\sqrt{2},3,-\frac{3\sqrt{2}}{2},\dots$

Write the first four terms of the following geometric sequence.

$a_1=-8,r=-\frac{1}{2}$

Write the first four terms of the following geometric sequence.

$a_1=\frac{3}{4},r=\frac{2}{3}$

Write a formula for the general or term for each geometric sequence.

$12,-6,3,-\frac{3}{2},\dots$

Write a formula for the general or term for each geometric sequence.

$0.8,0.32,0.128,0.0512,\dots$

Find the indicated term of the following geometric sequence.

$a_n=10(\frac{1}{5}{)}^{n-1}$

Find $a_4$

Find the indicated term of the following geometric sequence.

$a_n=4(0.3{)}^{n-1}$

Find $a_5$.