Answer:
fourth number in this sequence is 22.
Step-by-step explanation:
Given : The sum of 6 consecutive even numbers is 126.
To find : .what is the fourth number in this sequence.
Solution : We have given
sum of 6 consecutive even numbers is 126.
Let the 6 consecutive even numbers are = x , x +2 , x + 4 , x + 6 ,x + 8 , x + 10
According to question
Sum of all 6 numbers
x + x +2 + x + 4 + x + 6 + x + 8 + x + 10 = 126 .
On adding like terms
6x + 30 = 126 .
On subtracting both sides by 30.
6x = 126 -30 .
6x = 96.
On dividing both sides by 6
x = 16 .
Then fourth number is x + 6
16 + 6 = 22,
Therefore, fourth number in this sequence is 22.
