SOLUTION: Hi yes i need the 100th and the nth term 1,4,16,64,256

Question 1151515: Hi yes i need the 100th and the nth term
1,4,16,64,256
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

the th and the th term
,,,,
Let's examine sequence so that we can find a formula to express its th term. It looks like geometric sequence.
let see what is the fixed number, called the common ratio () :
or
so, the common ratio is

and, the th term formula will be
check given terms:
.......if , ->true
...=>if ,->true
...=> if,->true
...=>if ,->true
...=>if ,->true

so, it is the th term formula:
(for all terms given)

the th term is:

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