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If a(0) = 0.4 and a(n+1) = 2|a(n)|-1 , t...

If `a_(0) = 0.4` and `a_(n+1) = 2|a_(n)|-1` , then `a_(5)` =

A

`-0.6`

B

`-0.2`

C

0.2

D

0.4

Text Solution

Verified by Experts

The correct Answer is:
C
Enter 0.4 into your calculator , followed by 2|Ans|-1 five times to get `a_(5)=0.5` . An alternative solution is to evaluate each `a_(i)` in turn :
`a_(1)=2|0.4|-1=-0.2`
`a_(2)=2|a_(1)|-1=2|-0.2|-1=-0.6`
`a_(3)=2|a_(2)|-1=2|-0.6|-1=0.2`
`a_(4)=2|a_(3)|-1=2|0.2|-1=-0.6`
`a_(5)=2|a_(4)|-1=2|-0.6|-1=0.2`
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