Answer:
The first number in the sequence is 88.
Step-by-step explanation:
Given : The sum of 3 consecutive even numbers is 270.
To find : What is the first number in this sequence?
Solution :
Let the three consecutive even numbers be x,x+2,x+4
According to question,
The sum of 3 consecutive even numbers is 270,
[tex]x+x+2+x+4=270[/tex]
[tex]3x+6=270[/tex]
[tex]3x=270-6[/tex]
[tex]3x=264[/tex]
[tex]x=\frac{264}{3}[/tex]
[tex]x=88[/tex]
So, First number is x=88
Second number is x+2=88+2=90
Third number is x+4=88+4=92
Therefore, The sequence form is 88,90,92.
Hence, The first number in the sequence is 88.
