The sum of the first three terms of G . P is S and their products is 27 . Then all such S lie in

Step-by-step solution

Let terms are a r , a , a r then a 3 = 27    ⇒ a = 3 Now S = 3 r + 3 + 3 r S = 3 1 r + r + 3 r + 1 r ≥ 2   ∀ r > 0 or r + 1 r ≤ - 2   ∀ r < 0 S ∈ ( - ∞ , - 3 ] ∪ [ 9 , ∞ )