Which of the descriptions below from Problem A5 are valid for the toothpick triangles? Why are the others invalid?
a. | As the input increases by 1, the output increases by 4. |
b. | If you add 2 to 1 and double it, you get 6. If you add 3 to 2 and double it, you get 10. If you add 4 to 3 and double it, you get 14. Or, if you add the input to the next input, double that, you get the output. |
c. | The units digits are in the sequence 6, 0, 4, 8, 2, so the next number would be 26, then 30, 34, 38, and 42, and then 46, 50, 54, 58, 62, etc. |
d. | To get the output, multiply the input by 4 and add 2. |
e. | To get the output, triple the input, then add 2 more than the input. |
f. | After 6 as an input, the output numbers repeat over again: 6, 10, 14, 18, 22, 26, etc. |
g. | After 6, the output numbers remain constant: 26, 26, 26, etc. |
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