Challenge #6

Let's get those big brains moving again after the holiday. This week's challenge is about finding the patterns in number chains. Look at the first few numbers, think about what the pattern is, then use that pattern to figure out the next two numbers in the sequence. Write your answers and your name on a piece of paper and give it to Mr. Smith before Thursday at 3:00 when you go home. All students with correct answers will earn the title of Number Chain Puzzle Master of the Week. Good luck!

For Grade One students...
4, 8, 12, 16, __, __.

For Grade Two students...
73, 66, 59, 52, __, __.

For Grade Three students...
181, 168, 155, 142, __, __.

For Grade Four students...
6, 14, 30, 62, __, __.

For Grade Five students...
21, 294, 4116, 57624, __, __.

For Grade Six students...
11, 4301, 391391, 153033881, __, __.

For Grade Seven students...
3, 9, 81, 6561, __, __.

For Grade Eight students...
2, 8, 512, 134217728, __, __.