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Chapter 12: Q. 265 (page 1218)

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

a1=-13andd=6

Short Answer

Expert verified

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

-13,-7,-1,5,11

Step by step solution

01

Step 1. Given information

We have first term a1=-13and common difference d=6.

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

02

Step 2. Find the second term

First term is -13.

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

Put n=2.

a2=a1+(2-1)6a2=-13+(2-1)6a2=-13+6a2=-7

03

Step 3. Find third term

Put n=3.

a3=a1+(3-1)6a3=-13+(3-1)6a3=-13+(2)6a3=-13+12a3=-1

04

Step 4. Find fourth term

Put n=4.

data-custom-editor="chemistry" a4=a1+(4-1)6a4=-13+(3)6a4=-13+18a4=5

05

Step 5. Find fifth term

Put n=5.

a5=a1+(5-1)6a5=-13+(4)6a5=-13+24a5=11

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