Rocket strings beads on a necklace. Red, blue, red, blue. Then he adds a green bead by mistake. "Oops! That one breaks the pattern," he says.
Raven smiles. "Mistakes help us look closer. What would the hundredth bead be?"
Nova blinks. "Would you like a hint? Look at which beads land on even numbers." Let's find the hidden patterns.
Each row has ONE item that BREAKS the pattern. Circle it.
Pattern: A B A B A B A B... What is item #100? Item #99?
You do not need to count to 100 to find item 100. Use the length of one lap.
In a two item lap, even items get the second item. Odd items get the first.
| Statement | True or false? |
|---|---|
| In A, B, A, B, every even item is B. | ? |
| You must count every item to find item 100. | ? |
| A three item lap starts over every 3 items. | ? |
| In 1, 2, 3, 1, 2, 3, item 6 is 3. | ? |
Every pattern can become a LOOP. Pair the pattern with its loop:
| Pattern | Loop |
|---|---|
| clap clap snap, clap clap snap, ... | ( ) REPEAT (X) 5 times |
| X X X X X | ( ) REPEAT (clap clap snap) forever |
| red blue red blue red blue | ( ) REPEAT (red blue) until done |