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Using the formula for the sum of an arithmetic sequence;

Sum = 1/2*n [n is the total number of terms] *(2a [a is the value of the first term] + (n-1) * d)[d is the common difference between each term]

So the formula looks like this: Sum = 1/2*n (2a+(n-1)*d)

n = 50 because there's 50 odd numbers in a hundred and 50 even numbers (50+50=100)

a = 1

d = 2

So inputting the values gives:

Sum= 1/2*50 (2*1+(50-1)* 2)

Sum= 25*(2+49*2)

Sum= 25*(2+98)

Sum= 25*(100)

Sum= 2500

Answer= 2,500

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15y ago

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