Home
Class 12
MATHS
Let n ( gt 1 ) be a positive integer, th...

Let `n ( gt 1 )` be a positive integer, the largest integer m such that `( n ^(m) + 1)` divides `:`
`( 1+ n + n^(2) + "………" n^(127)) ` is `:`

A

32

B

63

C

64

D

127

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise MCQ ( Level-II)|77 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise LATEST QUESTIONS|11 Videos
  • RELATIONS

    MODERN PUBLICATION|Exercise RCQS|6 Videos
  • SETS

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|6 Videos

Similar Questions

Explore conceptually related problems

The smallest integer n such that ((1 + i)/(1-i))^(n) = 1 is

If n is a positive integer, then n^(3)+2n is divisible

If n is a positive integer, then (1+i)^(n)+(1-i)^(n)=

Find the least positive integer 'n' such that ((1+i)/(1-i))^(n) =1 .

For any positive integer n, prove that (n^(3) - n) is divisible by 6.

For every positive integer n, prove that 7^(n) – 3^(n) is divisible by 4.

If n is any positive integer then the value of (i^(4 n+1)-i^(4 m-1))/(2)=

Prove that 33! Is divisible by 2^(19) and what is the largest integer n such that 33! Is divisible by 2^(n) ?

If n is a positive integer, then: (sqrt(3)+1)^(2n)-(sqrt(3)-1)^(2n) is:

Let n be a positive integer such that sin(pi/(2n))+cos(pi/(2n))=(sqrt(n))/2dot Then