find the sum of following series: the multiple of 4 from 4 to 100 inclusive
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SOLUTION
TO DETERMINE
Sum of following series: the multiple of 4 from 4 to 100 inclusive
FORMULA TO BE IMPLEMENTED
Sum of first n terms of an arithmetic progression
Where First term = a
Common Difference = d
EVALUATION
Here we have to find the sum of the series: the multiple of 4 from 4 to 100 inclusive
The series is
4, 8, 12, 16,..., 100
It is an arithmetic progression
First term = a = 4
Common Difference = d = 4
Let 100 be the n th term
∴ 4 + 4(n-1) = 100
So the required sum of the series
= 1300
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