Q5 of 52 Page 336

Sum of ‘n’ odd number of consecutive numbers is divisible by ‘n’. Explain the reason.

Given, sum of ‘n’ odd number of consecutive numbers is divisible by ‘n’.

Sum of n consecutive odd numbers =


= n(2n-1)


∴ it is multiple of n


Hence, sum of n consecutive odd numbers is divisible by n


More from this chapter

All 52 →
3

Find the sum of integers which are divisible by 2 and 3 from 1 to 50.

 4

(n3 − n) is divisible by 3. Explain the reason.

 6

Is 111 + 211 + 311 + 411 divisible by 5? Explain.

 7


Find the number of rectangles of the given figure?