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Mathematics Test 8

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Mathematics Test 8
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  • Question 1
    4 / -1

    If P(n) = 2 + 4 + 6 + ......... + 2n, n – N then 6 P(m) = m(m + 1) + 2 , 

    ⇒ P(m + 1) = (m + 1) (m + 2) + 2 m – N, so we can conclude that P(n) = n(n+1) + 2 for

    Solution

    Since, P(1) = 2 therefore P(n) = n(n+1) + 2 is not true for n = 1. 

    Therefore, principal of induction is not applicable. 

    So, nothing can be said about truth of statement. 

    Hence, option D is correct.

     

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