IM Alg2.1.4 Practice: Using Technology to Work with Sequences
Here you have a blank spreadsheet. In A1, type 2 and enter.
What should you type into cell A2 to generate the sequence 2, 4, 8, 16, 32, . . . when you fill down the column?
What should you type into cell A2 to generate the sequence 2, 4, 6, 8, 10, . . . when you fill down the column?
Here you have another blank spreadsheet. In A1, type 400 and enter.
What should you type into cell A2 to generate the sequence 400, 200, 100, 50, 25, . . . when you fill down the column?
What should you type into cell A2 to generate the sequence 400, 325, 250, 175, 100, . . . when you fill down the column?
Here you have another blank spreadsheet.
If cell A1 = 5 and cell A2 = A1 * 3 + 2, what are the first 5 terms of the sequence?
If cell A1 = 1 and cell A2 = (A1 + 2) * 3, what are the first 5 terms of the sequence?
If cell A1 = 2 and cell A2 = (A1 + 2) * 3, what are the first 5 terms of the sequence?
Here you have another blank spreadsheet.
Find the first 5 terms of a geometric sequence that starts with -5 and has a growth factor of -1.
Find the first 5 terms of a geometric sequence that starts with -20 and has a growth factor of 0.5.
Find the first 5 terms of an arithmetic sequence that starts with -20 and has an rate of change of 5.
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.
Explain how you know this sequence is arithmetic.
Explain how you know this sequence is not geometric.
The first two terms of a geometric sequence are 6 and 3.
Explain why there is only one geometric sequence with these first two terms.
What are the next 3 terms of this geometric sequence?