SOLUTION: If the second term is 1/2 and the seventh term of a geometric progression is 1/64 find the 10th term

Question 826124: If the second term is 1/2 and the seventh term of a geometric progression is 1/64 find the 10th term
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If the second term is 1/2 and the seventh term of a geometric progression is 1/64 find the 10th term
-----
2nd term:: ar = 1/2
7th term:: ar^6 = 1/64
-----
Divide to solve for "r":
r^5 = 2^-5
r = 2^-1
r = 1/2
-----
Solve for "a"
ar = 1/2
a(1/2) = 1/2
a = 1
-------
Ans: a(n) = (1/2)^(n-1)
So, a(10) = (1/2)^9 = 1/512
=================================
Cheers,
Stan H.
============
RELATED QUESTIONS
The seventh term of geometric sequence is 32 and the last term is 512. If the first term... (answered by Boreal)

If the fifth term of a geometric progression is -2 and the seventh term is -8, what is... (answered by josgarithmetic)

1.If the third term of of a Geometric Progression is the square of the first and the... (answered by Edwin McCravy)

If the first term of the progression is -1 and the 10th term us 17, find the d and write... (answered by Fombitz)

1.[A]the 18th term of an arithmetic progression is 25.find it 1st term if is common is 2? (answered by stanbon)

The second term and fifth term of a Geometric Progression (GP) are 1 and 1�8... (answered by josgarithmetic)

The second term of the geometric sequence is 250, and the fifth term is 16. Find the... (answered by ikleyn)

A geometric progression and an arithmetic progression have the same first term. The... (answered by htmentor)