Question

How many multiple of 4 lie between 10 and 250? also their sum

Answer 1

First multiple of 4 after 10 is 12. 250 when divided by 4 leaves a remainder 2. So last. multiple of 4 before 250 is 248
So we have an AP with first term 12, nth term 248, common difference 4, where we need to find n

nth term is 248
So 12+(n-1)4=248
4n=248-8=240
n=60

Sum of 60 terms= 60/2(12+248)
=30x260
=7800

There are 60 multiples of 4 between 10 and 250 and sum of those terms is 7800

Answer 2

hence answer will be 7800