Find the sum of all four digit numbers which leave remainder 2 when divided by 5
IT IS 4 DIGIT NOR 3 OK
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Three digit numbers which leave the remainder 2 when divided by 5 are 102, 107, 112,117......, 997.
102, 107, 112,., 997 is an A.P
In this A.P
a (first term)= 102
d (Common difference)= 5
|(last term ) = 997 %3|
I= an = a + (n - 1) d
997= 102 + (n – 1) x 5
5 (n – 1) = 997 – 102 = 895
n-1= 885/5
(n – 1) = 179
n = 179 +1
n = 180
Sum of all three digit numbers which leaves remainder 2 when divided by 5
Sn = n/2 [a+I]
Sn= 180/2 [ 102+ 997]
Sn= 90 x 1099
Sn= 98910
Sum of all three digit numbers which leaves remainder 2 when divided by 5 is 98910.
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