Question

Rahul’s Mathematics teacher was teaching him principle of mathematical induction and explained concepts properly and told him to solve a question i.e. For all n ≥1,
(i)
(a) (ii)
prove that 12 + 22 + 32 + ------+ n2 = (+1)(2+1) 6
The first step in a proof that uses mathematical induction is to prove that P(1) is true
is known as:
Primary step (b) Basic step (c) Beginning step (d) None of these
The second step in a proof that uses mathematical induction is to prove that P(k) is
true is known as
Inductive step (b) Deductive step (c) Secondary step (d) None of these
(a)
(iii)
(a)1=1 (b) 2=2 (c) 1=3 (d) 2=3
(iv) The assumption that the given statement is true for n= k is called –
(a) Inductive hypothesis (b) Deductive hypothesis (c) Step hypothesis (d) None of these (v) If above problem is checked with n = k+1 then result will be
(a) 12 + 22 + 32 +-----+k2 = (+1)(2+1) (b) 12 + 22 + 32 +-----+k2 + (k+1)2 = (+2)(2+2) 66
(c) 12 + 22 + 32 +-----+(k+1)2 = (+1)(2+1) (d) None of these

Answer 1

Answer:

0

Step-by-step explanation:

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