IM Alg2.1.1 Practice: A Towering Sequence

Here is a rule to make a list of numbers: Each number is the sum of the previous two numbers.
Start with the numbers 0 and 1, then follow the rule to build a sequence of 10 numbers.
[size=150]A sequence starts [/size][math]\frac{1}{2},\frac{1}{4},\frac{1}{8},\ldots[/math][br][br]Give a rule that the sequence could follow.[br]
Follow your rule to write the next 3 terms in the sequence.[br]
A sequence of numbers follows the rule: multiply the previous number by -2 and add 3. The fourth term in the sequence is -7.
Give the next 3 terms in the sequence.[br]
Give the 3 terms that came before -7 in the sequence.[br]
A sequence starts 0, 5, . . .
Give a rule the sequence could follow and the next 3 terms for that rule.[br]
Give a [i]different[/i] rule the sequence could follow and the next 3 terms for that rule. [br]
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– GeoGebra Classroom Activities, IM Algebra 1, Geometry, Algebra 2

Information: IM Alg2.1.1 Practice: A Towering Sequence