Maths-
General
Easy

Question

Complete the conjecture. The sum of the first n odd positive integers is ____.

hintHint:

Inductive Reasoning is the process of drawing a general conclusion by observing a pattern based on the observations and this conclusion is called conjecture.

The correct answer is: Hence, the sum of the first n odd positive integers is n2


    Sum of first 3 positive integers = 1 + 3 + 5 = 9 = 32
    Sum of first 4 positive integers = 1 + 3 + 5 + 7= 16 = 42
    Sum of first 5 positive integers = 1 + 3 + 5 + 7 + 9 = 25 = 52
    Sum of first 6 positive integers = 1 + 3 + 5 + 7 + 9 + 11 = 36 = 62
    We can observe that the sum of the first n odd positive integers is n2.
    Final Answer:
    Hence, the sum of the first n odd positive integers is n2

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