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Chapter 12: Q. 263 (page 1218)

In the following exercises, write the first five terms of each arithmetic sequence with the given first term and common difference.

a1=5andd=3

Short Answer

Expert verified

We get the first five terms of the sequence as following:

5,8,11,14,17

Step by step solution

01

Step 1. Given information

We have first term a1=5and common difference d=3.

We have to write the first five terms of this arithmetic sequence.

02

Step 2. Find the second term

First term is 5.

Formula for nthterm is an=a1+(n-1)d.

Put n=2.

a2=a1+(2-1)3a2=5+(1)3a2=5+3a2=8

03

Step 3. Find third term

Put n=3

a3=a1+(3-1)3a3=5+(2)3a3=5+6a3=11

04

Step 4. Find fourth term

Put n=4.

a4=a1+(4-1)3a4=5+(3)3a4=5+9a4=14

05

Step 5. Find fifth term

Put n=5.

a5=a1+(5-1)3a5=5+(4)3a5=5+12a5=17

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