Home
Class 12
MATHS
Statement-1: 1 is a natual number. Sta...

Statement-1: 1 is a natual number.
Statement-2: `(n^(5))/(5)+(n^(3))/(3)+(6n)/(15)` is a natural number for `n in N`.

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE|Exercise Section-C(Linked Comprehension Type Questions)|6 Videos

  • PERMUTATIONS AND COMBINATIONS

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

  • PROBABILITY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION-J (aakash challengers questions)|13 Videos

Similar Questions

Explore conceptually related problems

Prove that (n^(5))/(5)+(n^(3))/(3)+(7n)/(15) is a natural number.

Prove by the principle of mathematical induction that (n^(5))/(5)+(n^(3))/(3)+(7n)/(15) is a natural number for all n in N.

2^(n) gt 2n+1 for all natual number n is for n>2

Let n be a natural number such that (1)/(2)+(1)/(3)+(1)/(7)+(1)/(n) is also a natural number. Which of the following statements is not true? (a) 2 divides n( b) 3 divides n( c) 7 divides n backslash (d) n>84

Statement-1: 7^(n)-3^(n) is divisible by 4. Statement-2: 7^(n)=(4+3)^(n) .

Statement-1 :Variance of first n natural number is (n^2-1)/12 . Statement-2 : S.D. of first n natural number is sqrt((n^2-1)/12)

For n in N,(1)/(5)n^(5)+(1)/(3)n^(3)+(7)/(15)n is

1+5+9+...+(4n-3)=n(2n-1) for all natural numbers n