write all the odd Integers between 60 to 75
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The sum is 11 + 13 + 15 + …………. + 59
This can be solved using Arithmetic progression:
First Term, a = 11
Last Term, l = 59
Common difference, d = 2
Number of terms, n = (l-a)/d + 1
= (59 - 11)/2 + 1
= 48/2 + 1
= 24 + 1
= 25
So, n= 25
So, Sum of this Arithmetic Progression = n/2(a+l)
= 25/2(11+59)
= 25/2 X 70
= (25X70)/2
= 1750/2
= 875
Hence, the sum of odd numbers from 11 to 60 is 875.
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