SOLUTION: The sum of the first 3 terms is 42 and the sum of the next 3 terms is 5 1/4. Determine the first 3 terms of geometric progression.
Algebra.Com
Question 850361: The sum of the first 3 terms is 42 and the sum of the next 3 terms is 5 1/4. Determine the first 3 terms of geometric progression.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
S=t*(1 - r^n)/(1 - r)
42=t*(1 - r^3)/(1 - r),
47.25=t*(1 - r^6)/(1 - r)
r=0.5, t=24
24.12,6 first 3 terms
3, 1.5, .75 second three terms
RELATED QUESTIONS
The sum of the first 4 terms of a geometric series is 15 and the sum of the next 4 terms... (answered by ikleyn)
The sum of the first 4 terms of geometric series is 15 and sum of the next four terms is... (answered by KMST)
find the first 3 terms of a geometric progression whose sum is 42 and whose product is... (answered by htmentor)
the sum of first 4 terms of Geometric progression is 7.5 if the sum of middle two terms... (answered by reviewermath)
The common ratio of a geometric series is 1/3 and the sum of the first 5 terms is 121.... (answered by richwmiller)
the sum of the 3 terms of an A.P is 9 and the sum of the next 2 terms is 16.List the... (answered by stanbon)
The sum of the first 20 terms of the geometric sequence 3, 6,12, 24, …... (answered by ikleyn)
The first two terms of a geometric sequence and an arithmetic sequence are the same. The... (answered by Edwin McCravy)
The sum of an infinite geometric series is 108, while the sum of the first 3 terms is... (answered by greenestamps)