In a geometric sequence, the 23rd term is 16 and the 24th term is 1/4. What is the 30th term?
We can define variables to solve this problem.
Let's let the common ratio of this geometric sequence be r.
We have
16r=1/4r=(1/4)/16=1/64
So the common ratio is 1/64.
Now, we calculate for the 30th term. We have'
(1/4)r6=(1/4)(1/64)6=(1/4)(1/43)6=(1/4)19=0.000000000003638
So our final answer is 0.000000000003638.
Thanks! :)
We can define variables to solve this problem.
Let's let the common ratio of this geometric sequence be r.
We have
16r=1/4r=(1/4)/16=1/64
So the common ratio is 1/64.
Now, we calculate for the 30th term. We have'
(1/4)r6=(1/4)(1/64)6=(1/4)(1/43)6=(1/4)19=0.000000000003638
So our final answer is 0.000000000003638.
Thanks! :)