If p(n) is the statement 23n-1 is a multiple of 7 then prove that p(5)

1.	If p(n) is the statement 23n-1 is a multiple of 7 then prove that p(5) is true
Answer» P(n): 23n-1 =7d, where d is any natural number.P(n): 23n-1 =7d. ..... (1)P(5): L.H.S = 23×5-1=115-1 = 114 , which is multiple of 7 . so by principle of mathematical induction. Hence it is proved that p(5) is true for given statement.

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