Question

Find the value of the next term in the sequence. 5, 9, 13, 17,

Answer 1

21

Step-by-step explanation:

Given the below sequence;

`5,9,13,17`

Looking at the sequence, we can see that the first term is 5 and the common difference is 4 as shown below;

`9-5=13-9=17-13=4`

So the sequence is an arithmetic progression with a = 5 and d = 4.

Let's go ahead and determine the 5th term of the sequence;

`\begin{gathered} a_5=a+(n-1)d \\ =5+(5-1)4 \\ =5+16 \\ =21 \end{gathered}`