Question 86 (i)
The sum of first n natural numbers is given by 12n2+12n. Find
The sum of first 5 natural numbers.
Given, sum of first n natural numbers =12n2+12n Sum of first 5 natural numbers.=12(5)2+12(5) [put n=5] =252+52=302=15
Question 86 (iii)
The sum of natural numbers from 11 to 30.
Question 87
The sum of squares of first n natural numbers is given by 16n(n+1)(2n+1) or 16(2n3+3n2+n). Find the sum of squares of the first 10 natural numbers.