Question
Download Solution PDF72n + 16n - 1 is divisible by (n ∈ N):
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
S = 72n + 16n - 1
For n = 1
S = 49 + 16 - 1 = 64
For n = 2
S = 2401 + 32 - 1 = 2432 = 64 × 32, which is divisible by 64
∴ Option 1 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.