unit 2 lesson 1 Sequences

1. 14, 19, 24, 29, . . .
C. arithmetic, 34, 39, 44

2. -4, 8, -16, 32, . . .
B. geometric, -64, 128, -256

3. 81, 27, 9, 3, . . .
C. geometric, 1, 1/3, 1/9

What are the first four terms of an arithmetic sequence if the common difference is 1.5 and the first term is 15?
B. 15, 16.5, 18, 19.5

What are the first four terms of a geometric sequence if the common ratio is 10 and the first term is 4.5?
D. none of the above

1 answer

, 4.5, 45, 450

Did you know?

"Did you know that sequences can be classified as arithmetic or geometric? In an arithmetic sequence, each term is obtained by adding a constant difference to the previous term. In a geometric sequence, each term is obtained by multiplying the previous term by a constant ratio. For example, the sequence 14, 19, 24, 29, . . . is an arithmetic sequence with a common difference of 5, while the sequence -4, 8, -16, 32, . . . is a geometric sequence with a common ratio of -2. Additionally, did you know that the first four terms of an arithmetic sequence can be found by adding the common difference to the first term successively? For instance, if the common difference is 1.5 and the first term is 15, the first four terms would be 15, 16.5, 18, and 19.5. Similarly, the first four terms of a geometric sequence can be found by multiplying the common ratio to the first term successively. If the common ratio is 10 and the first term is 4.5, the first four terms would be 4.5, 45, 450, and 4500.