Technology required. Open a blank spreadsheet. In A1, type “400” and hit Enter.

1. What should you type into cell A2 to generate the sequence 400, 200, 100, 50, 25, . . . when you fill down the column?
2. What should you type into cell A2 to generate the sequence 400, 325, 250, 175, 100, . . . when you fill down the column?

Technology required. Open a blank spreadsheet.

1. If cell A1 is 5 and cell A2 is = A1 * 3 + 2, what are the first 5 terms of the sequence?
2. If cell A1 is 1 and cell A2 is = (A1 + 2) * 3, what are the first 5 terms of the sequence?
3. If cell A1 is 2 and cell A2 is = (A1 + 2) * 3, what are the first 5 terms of the sequence?

Technology required. Open a blank spreadsheet.

1. Find the first 5 terms of a geometric sequence that starts with -5 and has a growth factor of -1.
2. Find the first 5 terms of a geometric sequence that starts with -20 and has a growth factor of 0.5.
3. Find the first 5 terms of an arithmetic sequence that starts with -20 and has an rate of change of 5.
4. Find the first 5 terms of an arithmetic sequence that starts with 43 and has an rate of change of -7.

Here is the graph of a sequence.

Graph of a sequence, origin “O”. Horizontal axis, "term number," with scale from 0 to 8, by 1’s. Vertical axis, "value of term," with scale 0 to 18, by 1's. Coordinates plotted (0 comma 1), (1 comma 4), (2 comma 7), (3 comma 10), (4 comma 13), and (5 comma 16).

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1. Explain how you know this sequence is arithmetic.
2. Explain how you know this sequence is not geometric.

The first two terms of a geometric sequence are 6 and 3.

1. Explain why there is only one geometric sequence with these first two terms.
2. What are the next 3 terms of this geometric sequence?