SOLUTION: Find a formula for the nth term of the geometric sequence. Then find the indicated nth term of the geometric sequence. 17th term: 5, 15, 45,. . . an= a17=

Question 1178485: Find a formula for the nth term of the geometric sequence. Then find the indicated nth term of the geometric sequence.
17th term: 5, 15, 45,. . .
an=
a17=
Found 3 solutions by josgarithmetic, MathLover1, mananth:
Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!
Observe that the common ratio is 3.
Go from there.
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
the nth term formula of the geometric sequence:
where =, ,.......
given:
sequence: , , ,. . .

so, you multiply first term by to get second term, and multiply second term by to get third term
so, common ratio is
your formula is:

find:
=> means

Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
The n th term of geometric sequence is

an= a1*r^(n-1)
The sequence is 5,15,45
15/5 =3
45/15 =3
Hence r=3
a1=5
a17 = 5*3^16
=215233605

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