SOLUTION: In a geometric sequence, a⬇️6 = 48 and a⬇️7 = 24. What is a⬇️1? (6,7, and 1 are all beneath a)

Algebra ->  Test -> SOLUTION: In a geometric sequence, a⬇️6 = 48 and a⬇️7 = 24. What is a⬇️1? (6,7, and 1 are all beneath a)      Log On


   



Question 1154632: In a geometric sequence, a⬇️6 = 48 and a⬇️7 = 24. What is a⬇️1? (6,7, and 1 are all beneath a)
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


The common ratio is a(7)/a(6) = 24/48 = 1/2.

The 6th term is the first term, multiplied by the common ratio 5 times:

48+=+a%281%29%2A%281%2F2%29%5E5
48+=+a%281%29%2F32
a%281%29+=+48%2A32+=+1536

The first term is 1536.