SOLUTION: Find a formula for the general term of the sequence √2, √(2√2) , √(2√(2√2) )

Algebra ->  Sequences-and-series -> SOLUTION: Find a formula for the general term of the sequence √2, √(2√2) , √(2√(2√2) )       Log On


   

Question 1022352: Find a formula for the general term of the sequence √2, √(2√2) , √(2√(2√2) )
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Powers of sqrt%282%29
a%5Bn%5D=%28sqrt%282%29%29%5En
.
.
n=1
a%5B1%5D=sqrt%282%29%5E1=sqrt%282%29
.
.
n=2
a%5B2%5D=sqrt%282%29%5E2=sqrt%282%29%2Asqrt%282%29=2
.
.
n=3
a%5B3%5D=sqrt%282%29%5E3=sqrt%282%29%2Asqrt%282%29%2Asqrt%282%29=2sqrt%282%29
.
.