SOLUTION: Find the nth term of the geometric sequence 125,25,5,1... Find the nth term of the geometric sequence 7,49,343,2401,...

Question 659640: Find the nth term of the geometric sequence
125,25,5,1...
Find the nth term of the geometric sequence
7,49,343,2401,...
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the nth term of the geometric sequence
125,25,5,1...
a(n) = 125(1/5)^(n-1)
-------------------------------
Find the nth term of the geometric sequence
7,49,343,2401,...
a(n) = 7^n
===================
Cheers,
Stan H.

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Find the nth term of the geometric sequence
125,25,5,1...,...every next one is divided by , so ratio is
nth of General Term of a Geometric Sequence:

where is the first term of the sequence and is the common ratio.
We have the common ratio and ,then

so, check sixth term above using this formula:

which is

Find the nth term of the geometric sequence
7,49,343,2401,...
it is a "geometric sequence" which that means that each successive term is multiplied by the same factor, and in this sequence the common factor is
Geometric sequences have an nth term of the form where is the first term, is the common factor and is the number of the term (nth term).
....... and

RELATED QUESTIONS
Find a formula for the nth term of the geometric sequence. Then find the indicated nth... (answered by josgarithmetic,MathLover1,mananth)
Find a formula for the nth term of the geometric sequence. Then find the indicated nth... (answered by mananth)
Find the nth term of the geometric sequence. −5, 20, −80, (answered by josgarithmetic,ikleyn)
Find the nth term of the geometric sequence. c^2, c^5, c^8.... (answered by ikleyn)
find the fifth term an nth term of the geometric sequence... (answered by srinivas.g)
find the nth term of each geometric sequence.... (answered by stanbon)
Find the nth term, the fifth term, and the eighth term of the geometric sequence.... (answered by dfrazzetto)
Find the nth term of the geometric sequence. 0.3, 0.03, 0.003, ... (answered by stanbon)
Find the nth term of the geometric sequence. -4, 20, -100, ... (answered by ewatrrr)