Arithmetic Sequences Continued A. Determine the common difference for each arithmetic sequence, then fill in the blanks.
5, _, _, 17

The common difference is 4

5, 9, 13, 17

Step-by-step explanation:

Given

5, _, _, 17

Solving (a): The common difference

Since it is an arithmetic sequence, the common difference can be solved using:

Where

i.e. 4 terms

So:

Collect like terms

Hence, the common difference is 4

Solving (b): Complete the blanks.

To do this, we simply add 4 to each successive terms.

So: 5, 9, 13, 17

y + 11 = (1/4)(x + 16)

step-by-step explanation: