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Chapter 12: Q. 2 (page 839)

Write down the first five terms of the sequence:

a1=4,an=3an-1+2.

Short Answer

Expert verified

First five terms of the sequence are4,14,44,134,404.

Step by step solution

01

Given information:

Consider , an=3an-1+2

Given first term, a1=4

To find the values ofa2,a3,a4anda5.

02

To find a2 :

Put n=2,

a2=3脳a2-1+2=3脳a1+2=3脳4+2=12+2=14

03

To find a3 ,

Put n=3,

a3=3脳a3-1+2=3脳a2+2=3脳14+2=42+2=44

04

To find a4 :

Put n=4,

a4=3脳a4-1+2=3脳a3+2=3脳44+2=132+2=134

05

To find a5 :

Put n=5,

a5=3脳a5-1+2=3脳a4+2=3脳134+2=402+2=404

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