Home
Class 12
MATHS
3^(2n)-1 is divisible by 8, for all natu...

`3^(2n)-1` is divisible by 8, for all natural numbers n.

A

3

B

5

C

6

D

8

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE ENGLISH|Exercise Section-B((Objective Type Questions (One option is correct))|20 Videos
  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE ENGLISH|Exercise Section-C(Linked Comprehension Type Questions)|6 Videos
  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE ENGLISH|Exercise Try yourself|9 Videos
  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section-J (Aakash Challengers Questions)|7 Videos
  • PROBABILITY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION-J (aakash challengers questions)|11 Videos

Similar Questions

Explore conceptually related problems

prove that 4^(n)-1 is divisible by 3, for each natural number n.

Use the principle of mathematical induction to show that 5^(2n+1)+3^(n+2).2^(n-1) divisible by 19 for all natural numbers n.

prove that n(n^(2)+5) is divisible by 6, for each natural number n.

prove using mathematical induction: -n(n+1)(n+5) is divisible by 6 for all natural numbers

n^2-1 is divisible by 8, if n is

n^(2)-1 is divisible by 8 , if n is

Using principle of mathematical induction, prove that 7^(4^(n)) -1 is divisible by 2^(2n+3) for any natural number n.

If 10^n+3xx4^(n+2)+lambda is divisible by 9 or all natural numbers, then the least positive integral value of lambda is a. 5 b. 3 c. 7 d. 1

Show that n^3+(n+1)^3+(n+2)^3 is divisible by 9 for every natural number n .

Prove the following by the principle of mathematical induction: 3^(2n)+7 is divisible by 8 for all n in Ndot