Answer:
23
Step-by-step explanation:
Given:
The sequence of numbers is given as:
4 2
9 8
15 15
22 ?
Let the unknown number be 'x'.
Now, if we observe the numbers that are on the left or right side, we conclude that the difference between two numbers is increasing by 1 .
Right side: Left side:
8 - 2 = 6 9 - 4 = 5
15 - 8 = 7 ( 6 + 1) 15 - 9 = 6
22 - 15 = 7
Therefore, the next difference will also increase by 1 and will be equal to 8. So,
[tex]x - 15 = 8[/tex]
Adding 15 both sides, we get:
[tex]x-15+15=8+15[/tex]
[tex]x=23[/tex]
Therefore, the unknown number will be 23.
