Question

Find the sum of even no between 1 to 100. ............ i know tu rohit ahes ​

Answer 1

Answer:

even numbers between 1 to 100 are:-

2,4,6,8....100 which is in A.P.

t1=a=2

t2=4

t3=6

t4=8

tn=100

tn=a+(n-1)d

100=2+(n-1)2

100=2+2n-2

100=2n

n=100/2

n=50

Now,

Sn=n/2x[2a+(n-1)d]

S50=50/2x2(2)+(50-1)(2)

S50=50/2x4+98

S50=50/2x102

S50=50x51

S50=2550

hope it help you.. xD

Thankyou☺️

Answer 2

Answer:

So we can do the following: Sum of odd consecutive integers from 1 to 100 = (Sum of all consecutive integers from 1 to 100) - (Sum of even consecutive integers from 1 to 100). Sum of odds = (100 x 101/2) - [2 x (50 x 51/2)] = 5050 - 2550 = 2500. Now, the set {3,5,7,9...