Answer:
The fifth number in this sequence is 44.
Step-by-step explanation:
Given : The sum of 5 consecutive even numbers is 200.
To find : What is the fifth number in this sequence?
Solution :
Let the 5 consecutive even numbers are x,(x+2),(x+4),(x+6),(x+8)
The sum of 5 consecutive even numbers is 200.
i.e. [tex]x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 200[/tex]
Solving the equation,
[tex]5x+20= 200[/tex]
[tex]5x=180[/tex]
[tex]x=\frac{180}{5}[/tex]
[tex]x=36[/tex]
So, The numbers are
First number x=36
Second number x+2=36+2=38
Third number x+4=36+4=40
Fourth number x+6=36+6=42
Fifth number x+8=36+8=44
Therefore, The fifth number in this sequence is 44.
