Question

PLEASE READ. It’s not asking for what n is it what the bottom next number would be, it’s asking for what the equation would be like n* 3+2

Answer 1

The bottom next number is -2.28 and the equation becomes
`O=2(2-n)`, where n is the input value and O is the output value.

Explanation:

The given values are,

Input Output

1 2

2 0

3 -2

4 -4

`\pi` ?

Step:1

Based on the input and output values assume the equation,

`O=2(2-n)`.....................(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 =
`\pi`,

Take, n =
`\pi`

O = 2 ( 2 -
`\pi` )

= 2 ( 2 - 3.14 ) ( ∵
`\pi` = 3.14 )

= 2 ( -1.14 )

O = -2.28

Result:

The bottom next number is -2.28 and the equation becomes
`O=2(2-n)`, where n is the input value and O is the output value.