# Lesson 1

A Towering Sequence

### Problem 1

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.

### Solution

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### Problem 2

A sequence starts $$\frac{1} {2}, \frac{1}{4}, \frac{1}{8}, \dots$$

1. Give a rule that the sequence could follow.
2. Follow your rule to write the next 3 terms in the sequence.

### Solution

For access, consult one of our IM Certified Partners.

### Problem 3

A sequence of numbers follows the rule: multiply the previous number by -2 and add 3. The fourth term in the sequence is -7.

1. Give the next 3 terms in the sequence.
2. Give the 3 terms that came before -7 in the sequence.

### Solution

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### Problem 4

A sequence starts 0, 5, . . .

1. Give a rule the sequence could follow and the next 3 terms for that rule.
2. Give a different rule the sequence could follow and the next 3 terms for that rule.

### Solution

For access, consult one of our IM Certified Partners.