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Question

If P(k) is the statement 23k - 1 is divisible by 7, then P(k + 1) is


A

23k - 2 is divisible by 7

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B

23k +3 - 1 is divisible by 7

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C

23k+1 - 1 is divisible by 7

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D

23k+2 - 1 is divisible by 7

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Solution

The correct option is B

23k +3 - 1 is divisible by 7


P(k): 23k - 1 is divisible by 7.

P(k + 1): 23k + 3- 1 is divisible by 7.


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