SOLUTION: the third term of a geometric sequence is 4 and the sixth term is 32/27. find the nth term.

Question 1127066: the third term of a geometric sequence is 4 and the sixth term is 32/27. find the nth term.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
the third term of a geometric sequence is

and the sixth term is

find the nth term:
The formula for the general term for each geometric sequence is where is first term and is common ratio
we need to find and

since given , we know that then

....solve for
........eq.1

since given , we know that then

.....solve for

.......eq.2

from eq.1 and eq.2 we have

....solve for

now find
........eq.1

the nth term formula is:

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