Question

Write a linear function to describe the sequence. Explain your function. The first 5 terms of an arithmetic sequence are shown. 5, 2, –1, –4, –7 Write a linear function to describe the sequence. Explain your function.

Answer 1

The linear function is;

Tn-1 = Tn + 3

What this mean is that to get the term before the present term, we add 3 to the present term

Explanation:

Here, we want to write a liner function to describe the function

As we can see from the numbers listed,

the next term is simply obtained by deducting 3 from the previous term

We can write this as:

Tn-1 = Tn + 3

Where Tn is the next term and Tn-1 is the previous term

What the function is saying is that to get the term before the present term, we add 3 to the present term