SOLUTION: For the geometric sequence, what is the least value of n such that the nth term is greater than a 1000.
16, 24,36
Algebra.Com
Question 643787: For the geometric sequence, what is the least value of n such that the nth term is greater than a 1000.
16, 24,36
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
For the geometric sequence, what is the least value of n such that the nth term is greater than a 1000.
16, 24,36
-------------------------
a*r^(n-1) >= 1000
16*(3/2)^(n-1) >= 1000
(3/2)^(n-1) >= 62.5
---
Take the log of both sides:
(n-1)log(1.5) >= log(62.5)
---
n-1 >= 10.2
N >= 11.2
===================
Ans: n = 11
====================
Cheers,
Stan H.
RELATED QUESTIONS
Consider a geometric sequence where the first term is 768 and the second term is 576.... (answered by ikleyn)
A geometric sequence has a first term of 768 and the second term is 576.
I need to find (answered by josgarithmetic,ikleyn)
What is a rule for the nth term of the geometric sequence -3,-6,-12,-24,-48,...?
(answered by jorel1380)
What is the nth term of the geometric sequence that has a common ratio of 6 and 24 as its (answered by khai)
Find a formula for the nth term of the geometric sequence. Then find the indicated nth... (answered by mananth)
what is the nth term of the sequence... (answered by MathLover1)
In a geometric sequence, the first term is 3 and the sixth term is 96.
a. Find the... (answered by ikleyn)
The third term of a geometric sequence is 12 and
the fifth term is 16/3.
Determine the (answered by greenestamps)
write a rule for the nth term of the arithmetic sequence 2,9,16,23,30...What is... (answered by richwmiller)