find the sum of all natural number lying between
100 and 1000, which are mulliples of 5.
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Multiples of 5 between 100 and 1000 are 105, 110, 115,......995
Here,
a=105
d=5
an=995
We know that,
an=a+(n-1)d
=>995=105+(n-1)5
=>(n-1)5=995-105
=>n-1=890/5
=>n=175+1
=>n=176
Sn=176/2(2×105+175×5)
=88(210+875)
=88×1085
=95480
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