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if x(0)=3 and x(n+1)=sqrt(4+x(n)), then ...

if `x_(0)=3 and x_(n+1)=sqrt(4+x_(n)),` then `x_(3)=`

A

2.65

B

2.58

C

2.56

D

2.55

Text Solution

Verified by Experts

The correct Answer is:
C
this is a recursively defined sequence. Press 3 enter on your calculator. Then enter `sqrt(4+Ans)` and pressure ENTER 3 times to get `x_(3)~~2.56`.
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