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If we add the first n odd numbers we get ______(a) n^2(b) 2n(c) 3n(d) nThe question was posed to me in a job interview.My enquiry is from Properties of Squares in portion Squares and Square Roots of Mathematics – Class 8

Answer»

Correct CHOICE is (a) n^2

To explain: When we add FIRST n odd NUMBERS we get, n^2.

For example: the first 5 odd numbers are 1, 3, 5, 7 and 9

When we add them, we get, 1+3+5+7+9+=25. We know that 25 is the square of number 5. HENCE, we find that when first n numbers are added we get n^2.



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