Question

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 17,11,5,... it This is an arithmetic sequence and the common difference is equal to

−
6
−6.

Answer 1

The common difference is -6.

Step-by-step explanation:

The common difference of an arithmetic sequence is the fixed value that is added from one term to get the next term in the sequence.

In this sequence:

17, 11, 5, ...

we can see that -6 is added from each term to get the next term. Therefore, -6 is the common difference:

17 + (-6) = 11,

11 + (-6) = 5,

etc.