Question

if p(n):2+4+6...+2n=n(n+1),then verify that p(1)+p(2)+p(3)are true​

Answer 1

Answer:

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Answer 2

SOLUTION

GIVEN

p(n) : 2 + 4 + 6 + ... + 2n = n(n+1)

TO VERIFY

p(1) , p(2) , p(3) are true

EVALUATION

Here it is given that

p(n) : 2 + 4 + 6 + ... + 2n = n(n+1)

Putting n = 1 we get

p(1) : 2 = 1(1+1)

⇒ p(1) : 2 = 2

So p(1) is true

Putting n = 2 we get

p(2) : 2 + 4 = 2(2+1)

⇒ p(2) : 6 = 6

So p(2) is true

Putting n = 3 we get

p(1) : 2 + 4 + 6 = 3(3+1)

⇒ p(1) : 12 = 12

So p(3) is true

Hence verified

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