Sum of all natural numbers between 100 and 300 excluding both of these are exactly divisible by 5
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All those numbers between 100 to 300 which are divisible by 5 are, 105, 110, 115, …. 295.
As this is a sequence of a fixed difference between the consecutive terms, also called as an arithmetic progession (A.P.).
Sum of this sequence =105+110+115+...295=105+110+115+...295
For given A.P., we have
First terms, a = 105
Common difference, d = 5
Last term, anan = 295
No. of terms, n = 39.
Sum =n(a+an)2.=n(a+an)2.
Putting values of a, anan, and n, we have
Sum =39(105+295)2=39(105+295)2
Sum = 7800.
Hope it helps you !
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