The bottom next number is -2.28 and the equation becomes [tex]O=2(2-n)[/tex], where n is the input value and O is the output value.
Step-by-step explanation:
The given values are,
Input Output
1 2
2 0
3 -2
4 -4
[tex]\pi[/tex] ?
Step:1
Based on the input and output values assume the equation,
[tex]O=2(2-n)[/tex].....................(1)
Where,
n - Input values
O - Output values
Step:2
Check for solution,
Take, n = 1
O = 2 ( 2 - 1 )
= 2 ( 1 )
O = 2
Take, n = 2
O = 2 ( 2 - 2 )
= 2 ( 0 )
O = 0
Take, n = 3
O = 2 ( 2 - 3 )
= 2 ( -1 )
O = -2
Take, n = 4
O = 2 ( 2 - 4 )
= 2 ( -2 )
O = -4
Now, we substitute the value for n = [tex]\pi[/tex],
Take, n = [tex]\pi[/tex]
O = 2 ( 2 - [tex]\pi[/tex] )
= 2 ( 2 - 3.14 ) ( ∵ [tex]\pi[/tex] = 3.14 )
= 2 ( -1.14 )
O = -2.28
Result:
The bottom next number is -2.28 and the equation becomes [tex]O=2(2-n)[/tex], where n is the input value and O is the output value.
