SOLUTION: find the least value of n for which the sum of the first n odd natural numbers exceeds 5000. please give a very comprehensive answer easy to grasp.Thanks.

Question 913589: find the least value of n for which the sum of the first n odd natural numbers exceeds 5000.

please give a very comprehensive answer easy to grasp.Thanks.

Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
n odd numbers
1,3,5,7,9
Sum >5000
We will first find n for Sum = 5000
Sn = n/2(2a+(n-1)d)
a=1,d=2,Sn =5000
5000= n/2(2*1+(n-1)*2)
10000=n+(n-1)*2
10000=n+2n-2
10002=3n
n=3334
so for n =3334 Sum = 5000
SO for n=3335 Sum >5000

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