Question
Download Solution PDFComprehension
Direction : Consider the following for the items that follow :
The product of 5 consecutive terms of an AP is 229635. The first, second and fifth terms are in GP.
What is the common difference?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Let the required terms of AP are a – 2d, a – d, a, a + d, a + 2d
⇒ (a – 2d) (a – d) a (a + d) (a + 2d) = 2,29,635
⇒ a(a 2 – d2 ) (a 2 – 4d2 ) = 2,29,635.....(i)
Now a – 2d, a – d and a + 2d are in GP
⇒ (a – d)2 = a2 – 4d2
⇒ 5d2 – 2ad = 0
⇒ d(5d – 2a) = 0
⇒ 5d = 2a......(ii)
Solving equation (i) and (ii), we get
⇒ d = 6
∴ Option (d) is correct.
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