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.
Last updated on May 30, 2025
->UPSC has released UPSC NDA 2 Notification on 28th May 2025 announcing the NDA 2 vacancies.
-> A total of 406 vacancies have been announced for NDA 2 Exam 2025.
->The NDA exam date 2025 has been announced for cycle 2. The written examination will be held on 14th September 2025.
-> Earlier, the UPSC NDA 1 Exam Result has been released on the official website.
-> The selection process for the NDA exam includes a Written Exam and SSB Interview.
-> Candidates who get successful selection under UPSC NDA will get a salary range between Rs. 15,600 to Rs. 39,100.
-> Candidates must go through the NDA previous year question paper. Attempting the NDA mock test is also essential.