SOLUTION: Given the sequence 1,4,16,64 write an explicit formula for the nth term of the sequence in f(n) notation

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Question 1026054: Given the sequence 1,4,16,64 write an explicit formula for the nth term of the sequence in f(n) notation
Found 2 solutions by ikleyn, jim_thompson5910:
Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
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Given the sequence 1,4,16,64 write an explicit formula for the nth term of the sequence in f(n) notation
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Geometric progression with the first term  =  = 1 and the common ratio r = 4.

The formula for the general term is  =  = , n = 1, 2, 3, 4, . . . 

See the lesson Geometric progressions in this site.


Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
This is a sequence of terms that are powers of 4

1 = 4^0
4 = 4^1
16 = 4^2
64 = 4^3
and so on...

So the nth term is where n is an integer and it starts at n = 1.

So the function is and we make the restriction on the domain that n is an integer and or
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