Question

find the sum of all three digit numbers which leave the remainder 2, when divided by 3.

Tell me how to find AP, do we have to divide each 3 digit no. with 3 and check whether we get a remainder 2 or not OR there is some other way to do this????

Plzzzzz help!!! I have test tomorrow!!

Answer 1

smallest 3 digit number which leave the remainder 3 when divided by 5 =103

largest 3 digit number which leave the remainder 3 when divided by 5 =998

3 digit number after 103 which leave the remainder 3 when divided by 5 =108

an ap is formed: 103,108........998

first term=103

common difference=5

let the total no. of three digit numbers which leave the remainder 3 when divided by 5=n

998=103+(n-1)5

180=n

we know that the formula for sum in AP = no of terms*(first term + last term)/2

sum of ap=180*(103+998)/2 = 90*1101

=99090

Answer 2

9486 is the answer of your question