Generating a Sequence from a Rule Worksheet with Answer Key

What's on the worksheet

1. Write the first five terms of each sequence from its next-term rule.
   start 2; next = 10 − thisstart 1; next = this × (this + 1)start 0; next = 2(1 − this)start 1; next = \dfrac{1}{\text{this} + 1}start 2, 3; next = the product of the two before
2. Start at 1 and write terms of a rule that multiplies a term by the number 3 more than it.
3. Start at 3, square and subtract 2, and explain the pattern in the ones digits.
4. Follow a rule with two cases, divide by 3 or add 4, and write terms until one repeats.
5. Find the lost second term of a sum-of-two-terms sequence from its fifth term.
6. Write terms of a fraction rule and find which starting number gives a special result.
7. Square and subtract 5 from a start, then find a different start with a given outcome.