Chapter 12: Q 128. (page 1198)

In the following exercise, determine if the sequence is geometric, and if so, indicate the common ratio.
$2, 10, 50, 250, 1250, 6250, . . .$

Short Answer

Expert verified

The sequence is a geometric sequence with common ratio equal to $5$ .

Step by step solution

Step 1. Given information

The sequence is $2, 10, 50, 250, 1250, 6250, . . .$

Step 2. Determine if the sequence is geometric and if so, indicate the common ratio.

The sequence is said to be geometric if the ratio between consecutive terms is same.

Consider the sequence $2, 10, 50, 250, 1250, 6250, . . .$

$\begin{array}{rcl} \frac{10}{2} & = & 5 \\ \frac{50}{10} & = & 5 \\ \frac{250}{50} & = & 5 \\ \frac{1250}{250} & = & 5 \\ \frac{6250}{1250} & = & 5 \end{array}$

As the ratio between the consecutive terms is constant, the sequence is geometric with common ratio equal to $5$ .

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In the following exercise, determine if the sequence is geometric, and if so, indicate the common ratio.
$2, 10, 50, 250, 1250, 6250, . . .$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Determine if the sequence is geometric and if so, indicate the common ratio.

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In the following exercise, determine if the sequence is geometric, and if so, indicate the common ratio.2,10,50,250,1250,6250,...

Short Answer

Step by step solution

Step 1. Given information

Step 2. Determine if the sequence is geometric and if so, indicate the common ratio.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Pure Maths

Calculus

Logic and Functions

Discrete Mathematics

Decision Maths

Study anywhere. Anytime. Across all devices.

In the following exercise, determine if the sequence is geometric, and if so, indicate the common ratio.
$2, 10, 50, 250, 1250, 6250, . . .$