Question

The sum of 555 consecutive integers is 270270270. What is the second number in this sequence?

Answer 1

The second number in the sequence will be 53.

Explanation

The difference between any two consecutive integers is always 1.

Suppose, the five consecutive integers are:  $n$,  $n+1$,  $n+2$,  $n+3$ and  $n+4$

Given that, their sum is 270. So, the equation will be......

$n+(n+1)+(n+2)+(n+3)+(n+4)=270\\\\ 5n+10=270\\\\5n=270-10=260\\ \\ n=\frac{260}{5}=52$

Thus, the second number in the sequence will be:  $n+1= 52+1=53$