The second term of a geometric series is 24 and the fifth term is 3.
a. Show that the common ratio of the series is 1/2.
b. Find the first term of the series.
c. Find the sum to infinity of the series.
Once you know r, it is easy to use to find a.
And, once you know both a and r, the "sum to infinity" is just
____, 24, ____, ____, 3
Using , we can verify that the common ratio is 1/2
Working to the left of 24, the first term if found by multiplying 24 by 2. Thus, the first term is 48.
The sum S of an infinite geometric series with -1 < r < 1 is given by:
Since , and since , the sum exists.
THANKS SO MUCH!!
But im stuck on this question now... only b)