Find the sum of first 50 positive integers divisible by 8
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To find:
The sum of first 50 positive integers which are divisible by 8
Calculation:
The first 50 positive integers which are divisible by 8 are 8, 16, 24,....., 400. The data can be related to arithmetic progression
First term(a) = 8
Common difference(d) = 8
Sum of n terms in A.P is given by the formula
Sum = (n/2)[2a+(n-1)d]
=> Sum of first 50 terms = (50/2)[2(8)+(50-1)8]
=> Sum = 25[16+392]
=> Sum = 25[408]
=> Sum = 10200
The sum of first 50 positive integers which are divisible by 8 is 10200
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