Question

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each sequence to its appropriate recursively defined function. f(1) = 13 f(n) = f(n - 1) + 26 for n ≥ 2 f(1) = 13 f(n) = 3 · f(n - 1) for n ≥ 2 f(1) = -24 f(n) = -4 · f(n - 1) for n ≥ 2 f(1) = 28 f(n) = f(n - 1) - 84 for n ≥ 2 f(1) = 28 f(n) = -4 · f(n - 1) for n ≥ 2 f(1) = -24 f(n) = 4 · f(n - 1) for n ≥ 2 Sequence Recursively Defined Function -24, -96, -384, -1,536, ... 28, -112, 448, -1,792, ... 13, 39, 65, 91, ...

Answer 1

1 is sequence 3

5 is sequence 2

6 is sequence 1

(These r not included in the test, so don't use them)

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2 is no matching sequence

3 is no matching sequence

4 is no matching sequence

Explanation:

PLATO

Answer 2

1. sequence 3
2. no matching sequence
3. no matching sequence
4. no matching sequence
5. sequence 2
6. sequence 1

Explanation:

Recursively Defined Function Sequence

f(1) = 13 f(n) = f(n - 1) + 26 for n ≥ 2 13, 39, 65, 91, ...

f(1) = 13 f(n) = 3 · f(n - 1) for n ≥ 2

f(1) = -24 f(n) = -4 · f(n - 1) for n ≥ 2

f(1) = 28 f(n) = f(n - 1) - 84 for n ≥ 2

f(1) = 28 f(n) = -4 · f(n - 1) for n ≥ 2 28, -112, 448, -1,792, ...

f(1) = -24 f(n) = 4 · f(n - 1) for n ≥ 2 -24, -96, -384, -1,536, ...

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The initial values are easily seen. They match f(1). The recursive functions can be tested to see if they match the offered sequences.

sequence 1 has a common ratio of 4 (not -4)

sequence 2 has a common ratio of -4 (it is not arithmetic)

sequence 3 has a common difference of 26 (it is not geometric)