SOLUTION: `` please help me know what are the first six terms of this sequence {{{matrix(1,3,A[n]=(A[n-1])^2,",",A[0]=2)}}}

Algebra ->  Sequences-and-series -> SOLUTION: `` please help me know what are the first six terms of this sequence {{{matrix(1,3,A[n]=(A[n-1])^2,",",A[0]=2)}}}       Log On


   



Question 1060294: `` please help me know what are the first six terms of this sequence
matrix%281%2C3%2CA%5Bn%5D=%28A%5Bn-1%5D%29%5E2%2C%22%2C%22%2CA%5B0%5D=2%29

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
matrix%281%2C3%2CA%5Bn%5D=%28A%5Bn-1%5D%29%5E2%2C%22%2C%22%2CA%5B0%5D=2%29 

We substitute n=1

A%5B1%5D=%28A%5B1-1%5D%29%5E2%22%22=%22%22%28A%5B0%5D%29%5E2%22%22=%22%222%5E2%22%22=%22%224

We substitute n=2

A%5B2%5D=%28A%5B2-1%5D%29%5E2%22%22=%22%22%28A%5B1%5D%29%5E2%22%22=%22%224%5E2%22%22=%22%2216

We substitute n=3

A%5B3%5D=%28A%5B3-1%5D%29%5E2%22%22=%22%22%28A%5B2%5D%29%5E2%22%22=%22%2216%5E2%22%22=%22%22256

We substitute n=4

A%5B4%5D=%28A%5B4-1%5D%29%5E2%22%22=%22%22%28A%5B3%5D%29%5E2%22%22=%22%22256%5E2%22%22=%22%2265536

We substitute n=5

A%5B5%5D=%28A%5B5-1%5D%29%5E2%22%22=%22%22%28A%5B4%5D%29%5E2%22%22=%22%2265536%5E2%22%22=%22%224294967296

We substitute n=6

A%5B6%5D=%28A%5B6-1%5D%29%5E2%22%22=%22%22%28A%5B5%5D%29%5E2%22%22=%22%224294967296%5E2%22%22=%22%2218446744073709551616

Edwin