Chapter 12: Q 20. (page 824)

Find the fifth term and the nth term of the geometric sequence whose initial term $a_{1}$ and common ratio $r$ are given.
$a_{1} = 6, r = - 2$

Short Answer

Expert verified

The $n t h$ term is localid="1646985535068" $6 {(- 1)}^{n - 1}$ and the fifth term islocalid="1646985543934" $a_{5} = 6$ .

Step by step solution

Step 1. Given information.

We have, $a_{1} = 6$ and $r = - 2$

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

Step 2. To find the fifth term and the nthterm.

Substitute $a_{1} = 6, r = - 2$ and $n = 5$

role="math" localid="1646985361633" $a_{n} = 6 {(- 1)}^{n - 1}$

and

role="math" localid="1646985464675" $a_{5} = 6 {(- 1)}^{5 - 1} a_{5} = 6 {(- 1)}^{4} a_{5} = 6$

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Find the fifth term and the nth term of the geometric sequence whose initial term $a_{1}$ and common ratio $r$ are given.
$a_{1} = 6, r = - 2$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. To find the fifth term and the nthterm.

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Find the fifth term and the nth term of the geometric sequence whose initial term a1and common ratio rare given. a1=6,r=-2

Short Answer

Step by step solution

Step 1. Given information.

Step 2. To find the fifth term and the nthterm.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Applied Mathematics

Statistics

Decision Maths

Pure Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Find the fifth term and the nth term of the geometric sequence whose initial term $a_{1}$ and common ratio $r$ are given.
$a_{1} = 6, r = - 2$