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Chapter 12: Q. 264 (page 1218)

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

a1=8andd=-2

Short Answer

Expert verified

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

8,6,4,2,0

Step by step solution

01

Step 1. Given information

We have first term a1=8and common difference d=-2.

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

02

Step 2. Find the second term

First term is 8.

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

Put n=2.

a2=a1+(2-1)(-2)a2=8+(1)(-2)a2=8-2a2=6

03

Step 3. Find third term

Put n=3.

a3=a1+(3-1)(-2)a3=8+(2)(-2)a3=8-4a3=4

04

Step 4. Find fourth term

Put n=4.

a4=a1+(4-1)(-2)a4=8+(3)(-2)a4=8-6a4=2

05

Step 5. Find fifth term

Put n=5.

a5=a1+(5-1)(-2)a5=8+(4)(-2)a5=8-8a5=0

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