Question

Find the common difference of the arithmetic sequence 5, 14, 23, ...

Answer 1

It’s plus 9 so the next number should be 32

Answer 2

Answer: 9

Step-by-step explanation: The common difference is the difference between each of the terms in an arithmetic sequence.

Let's work backwards.

First, we take the last term we are given and

subtract the second to last term.

So here, we subtract 23 - 14 to get 9.

Now, we take 14 - 5 to get 9.

Notice that 9 is our answer in both problems above.

That means it's our common difference.