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Let S(k) = 1 + 3 + 5 +...+ (2k -1) = 3 +...

Let `S(k) = 1 + 3 + 5 +...+ (2k -1) = 3 + k^2`. Then which of the following is true ?`
` (A) S(1) is correct `
` (B) S(k)=S(k+1) `
` (C) `S(k) != S(k+1)` `
` (D) Principal of mathematical induction can be used to prove the formula

A

S(1) is correct

B

`S(k) implies S(k-1)`

C

`S(k) impliesS(k + 1)`

D

principle of Mathematical Induction can be used to prove the formula.

Text Solution

Verified by Experts

The correct Answer is:
C
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