Find the sum of all the multiple s of 7 lying between 500 and 900
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Multiples of 7 from 500 to 900 are
504,511.........896
these numbers are in Arithmetic progression
so a=504 d=7
896=504+(n-1)*7
896=504+7n-7
399=7n
n=57
Now sum=n/2[2a+(n-1)d]
57/2[2*504+(57-1)7]
57/2[1400]
57*700
39900
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