Question

what is the sum of all odd number between 100 & 200.how can solve in step by step​

Answer 1

Answer:

15150 is the total sum.

Step-by-step explanation:

odd numbers with sum

Sum = n/2 x (a + Tn)

= (101/2) x (100 + 200)

= (101 x 300 ) / 2

100 + 101 + 102 + 103 + . . . . + 199 + 200 = 15150

Answer 2

Answer: 7500

Step-by-step explanation:

There are 50 odd numbers between 100 and 200 i.e. 101,103, ....,199.

We can break the Sum of these 50 numbers as( 100*50 )+ (1+3+5+7+......+99)

Let S1 = (1+3+5+7+....+99) which is equal to the sum of first 50 odd numbers

So, S1 =50^2 = 2500

Total Sum = (100*50) +2500=7500