Chapter 12: Q 139. (page 1198)

In the following exercises, write the first five terms of each geometric sequence with the given first term and common ratio.
$a_{1} = 4$ and $r = 3$

Short Answer

Expert verified

The first five terms of the geometric sequence are $4, 12, 36, 108, 324, . . .$ .

Step by step solution

Step 1. Write the given information and find the second term with the help of the first term and common ratio.

The given information is:

first term $a_{1} = 4$

Common Ratio $(r) = 3$

Second term:

$a_{2} = a_{1} r a_{2} = 4 (3) a_{2} = 12$

The second term of the sequence is $12$ .

Step 2. Find the other three terms in the same manner

Third term:

$a_{3} = a_{2} r = 12 \times 3 = 36$

The third term is $36$ .

Fourth term:

$a_{4} = a_{3} r = 36 \times 3 = 108$

The fourth term is $108$ .

Fifth term:

$a_{5} = a_{4} r = 108 \times 3 = 324$

The fifth term is $324$ .

Step 3. Write the first five terms

The first five terms are $4, 12, 36, 108, 324$ .

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In the following exercises, write the first five terms of each geometric sequence with the given first term and common ratio.
$a_{1} = 4$ and $r = 3$

Short Answer

Step by step solution

Step 1. Write the given information and find the second term with the help of the first term and common ratio.

Step 2. Find the other three terms in the same manner

Step 3. Write the first five terms

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In the following exercises, write the first five terms of each geometric sequence with the given first term and common ratio.a1=4andr=3

Short Answer

Step by step solution

Step 1. Write the given information and find the second term with the help of the first term and common ratio.

Step 2. Find the other three terms in the same manner

Step 3. Write the first five terms

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Pure Maths

Applied Mathematics

Decision Maths

Geometry

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, write the first five terms of each geometric sequence with the given first term and common ratio.
$a_{1} = 4$ and $r = 3$