Respuesta :
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
the answer is 101
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
the answer is 101
Answer: The answer is 101!
Step-by-step explanation:
Call the first number in the sequence x
The next integer in the sequence is x + 1
The sum of the 5 consecutive integers is:
x+ (x + 1)+ (x + 2)+ (x + 3)+ (x + 4) = 505
5x + 10= 505
5x = 495
x = 99
Since x is the first number, x + 2 is the third integer.
Thus, the third number in the sequence is 101