Question

A table of values of a linear function is shown below. Find the output when the input is n Type your answer in the space provided.

Input 1 2 3 4 n
Output -7 -9 -11 -13

Answer 1

Explanation:

Input: 1, 2, 3, 4, 5

Output: -7, -9, -11, -13

To get the output you'd add -2 each time. -7+(-2) is -9. -9+(-2)=-11. -11+(-2)=-13. And because it keeps on increasing like this the n should be 5. Because the output keeps increasing by the same value the input should too. It's increasing by 1.

( not sure if this is what you wanted us to answer)

Answer 2

• When the input is n then the output is - 5 - 2n

---------------------------

Using table, put the output values as a sequence:

• -7, -9, - 11, - 13, ...

We see the first term is -7 and the common difference is - 2.

The nth term would be:

• t(n) = - 7 + (- 2)(n - 1)
• t(n) = - 7 - 2n + 2
• t(n) = - 5 - 2n