Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Manipal MET2018MathematicsMathematical Induction

The product of ' n ' positive numbers is unity. Then, their sum is

Options

  1. Aa positive integer
  2. Bdivisible by n
  3. Cequal to n+ 1 n
  4. Dnever less than n

Correct answer

A. a positive integer

Step-by-step solution

The product of ' n ' positive integers is unity. Then their sum is a positive integer.

Practice Mathematical Induction on Quantrex Academy →

More from Mathematical Induction

If 2^ n divides 16 ! and 2^ n +1 does not divide 16 !, then n = 2023Using mathematical induction, the numbers a_n s are defined by a₀=1, a_ n+1 =3 n^2+n+a_n , (n 0) . Then, a_n is equal to 2023If 49^n+16^n+k is divisible by 64 for n N , then the least negative integral value of k is 20232^ 3 n -7 n-1 is divisible by 2023Using mathematical induction, the numbers a_n are defined by a₀=1, a_ n+1 =3 n^2+n+a_n, (n 0) . Then, a_n is equal to 20232^ 3 n -7 n-1 is divisible by 2023The given following circuit is equivalent to 2023The shaded area in the figure given below is a solution set of a system of inequations. The minimum value of objective function 3 x+5 y , subject to the linear constraints given by 2023 Full Mathematical Induction list All Manipal MET PYQs