Engineer & Medical

Mathematical Induction question bank (Maths)

Practice 70 free Engineer & Medical Maths - Mathematical Induction questions with answers and step-by-step solutions.

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Q1.

Let $S(K)=1+3+5+\ldots+(2 K-1)=3+K^2$. Then which of the following is true?

(A)

$S(1)$ is correct

(B)

Principle of mathematical induction can be used to prove the formula

(C)

$S(K) \neq S(K+1)$

(D)

$\mathrm{S}(\mathrm{K}) \Rightarrow \mathrm{S}(\mathrm{K}+1)$

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Q2.

$2^{n} < n!$ is true for $\{w h e r e n \in N\}$

(A)

n < 4

(B)

n \geq 4

(C)

n < 3

(D)

None of these

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