Question

find four numbers in G.P |
such that the product of the extremes is 576 & sum of middle two is 60 |​

Answer 1

Answer:

Let a,ar,ar2,ar3 be 4 terms. Sum of Extreme a+ ar3=112. sum of Middle ar+ar2=48. ⟹r+r21+r3 =37. ⟹3r3−7r2−7r+3=0. ⟹r=3,−1,31.