SOLUTION: a1=5, r=3, a12=?

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Question 1087532: a1=5, r=3, a12=?
Found 3 solutions by ikleyn, MathLover1, Fombitz:
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
Impossible to solve and/or answer without knowing which progression/sequence is it.



Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
it should be geometric sequence if given r
In general we write a geometric sequence like this:
{ a, ar, ar%5E2, ar%5E3, ...,ar%5E%28n-1%29 }
where:
a is the first term, and
r is the factor between the terms (called the "common+ratio")
We can also calculate any term using the rule:
a%5Bn%5D+=+a%5B1%5Dr%5E%28n-1%29
if given:
a%5B1%5D=5, r=3, to find a%5B12%5D, where n=12, use the rule above and given data

+a%5Bn%5D=a%5B1%5D%2Ar%5E%28n-1%29
+a%5B12%5D=5%2A3%5E%2812-1%29
a%5B12%5D=5%2A3%5E%2811%29
a%5B12%5D=885735


Answer by Fombitz(32388) About Me  (Show Source):