Chapter 12: Q 30. (page 824)

Find the indicated term of each geometric sequence.
$7 t h$ term of $0.1, 1.0, 10.0, . . . . .$

Short Answer

Expert verified

The $7 t h$ term is $10^{5}$ .

Step by step solution

Step 1. Given information.

We have, $0.1, 1.0, 10.0, . . . . .$

$a_{1} = 0.1, a_{2} = 1.0, a_{3} = 10.0$

The common ratio is

$\frac{a_{2}}{a_{1}} = \frac{1.0}{0.1} = 10 \frac{a_{3}}{a_{2}} = \frac{10.0}{1.0} = 10$

The common ratio $r = 10$ .

To find the 7th term.

The $n t h$ term of a geometric sequence is determined by formula $a_{n} = a_{1} r^{n - 1}$

Substitute $a_{1} = 0.1, r = 10$ and $n = 7$

$a_{7} = (0.1) {(10)}^{7 - 1} a_{7} = (0.1) {(10)}^{6} a_{7} = 10^{5}$

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Find the indicated term of each geometric sequence.
$7 t h$ term of $0.1, 1.0, 10.0, . . . . .$

Short Answer

Step by step solution

Step 1. Given information.

To find the 7th term.

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Find the indicated term of each geometric sequence. 7thterm of0.1,1.0,10.0,.....

Short Answer

Step by step solution

Step 1. Given information.

To find the 7th term.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Theoretical and Mathematical Physics

Mechanics Maths

Probability and Statistics

Geometry

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Find the indicated term of each geometric sequence.
$7 t h$ term of $0.1, 1.0, 10.0, . . . . .$