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________ is the general formula to find the number of non-square numbers in between two consecutive squares.(a) n^2+2n-1(b) n^2-1(c) 2n+1(d) n+1I have been asked this question during an interview for a job.The above asked question is from Patterns in Squares topic in section Squares and Square Roots of Mathematics – Class 8

Answer»

Correct ANSWER is (c) 2n+1

Easiest EXPLANATION: If we want to find the general formula for the number of non-square numbers in between two consecutive SQUARES, we assume to the natural numbers to be N & n+1

We square and subtract the SMALLER from the greater number,

(n+1)^2-n^2=(n^2+2n+1)-n^2=2n+1



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