The sum of 555 consecutive integers is 505505505. What is the third number in this sequence?
Accepted Solution
A:
the correct question is The sum of 5 consecutive integers is 505. What is the third number in this sequence?
Let x-----------> first integer x+1-----------> second integer x+2-----------> third integer x+3-----------> fourth integer x+4-----------> fifth integer
we know that x+(x+1)+(x+2)+(x+3)+(x+4)=505 then 5x+10=505----------> x=(505-10)/5---------> x=99
therefore the third integer is (x+2)------> 99+2=101