find sum of all odd numbers between 10 and 200
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Odd numbers between 10 and 200 are 11,13,15....199.
Here 1st term a = 11
Last term l = 199.
Common difference d = 2.
We know that sum of n terms an = a + (n-1) * d
199 = 11 + (n - 1) * 2
199 - 11 = (n - 1) * 2
188 = (n - 1) * 2
94 = n - 1
95 = n
Sum of n terms = n/2(a + l)
= 95/2(11 + 199)
= 95/2 * 210
= 95 * 105
= 9975.
Therefore the sum of odd numbers between 10 and 200 is 9975.
Hope this helps!
Here 1st term a = 11
Last term l = 199.
Common difference d = 2.
We know that sum of n terms an = a + (n-1) * d
199 = 11 + (n - 1) * 2
199 - 11 = (n - 1) * 2
188 = (n - 1) * 2
94 = n - 1
95 = n
Sum of n terms = n/2(a + l)
= 95/2(11 + 199)
= 95/2 * 210
= 95 * 105
= 9975.
Therefore the sum of odd numbers between 10 and 200 is 9975.
Hope this helps!
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