Question

In the arithmetic sequence {13,6,-1,-8,...}, what is the common difference?Enter your answer as a number, like this: 42

Answer 1

Given the arithmetic sequence

`13,6,-1,-8,\ldots`

We are required to determine the common difference.

For anarithmetic sequence, the common difference is always derived by subtracting the previous term from the next term in the sequence.

Therefore, the common difference will be:

`\begin{gathered} 6-13=-7 \\ -1-6=-7 \\ -8-(-1)=-7 \end{gathered}`

Therefore, the common difference of the arithmetic sequence is -7.