Question

Find 4 terms in GP whise product of first three terms is 8 and the sum of last three terms is 14

Answer 1

Assume that the 4 terms are a/r, a , ar, ar².
Product of first 3 terms = a³ = 8
=> a=2
Sum of last 3 terms :
a(1 + r + r²) = 14
=> r² + r - 6 = 0
Solving the above equation r= -3 or 2
So the terms are
-2/3, 2, -6, 18
Or
1, 2, 4, 8