Bumper Booklet: Sequences - Arithmetic & Geometric

**Procedurally generated questions on Sequences. **
The skills build in complexity, and ends with a large section of mixed questions. All questions have answers.

Designed for use by individuals or as a resource from which questions can be taken.
This resource covers the following characteristics for students to use (for both Arithmetic and Geometric Sequences:

• A given term, U_n
• The sum of the first n terms, S_n
• The first term, a
• The common difference / ratio, d / r

The sequences are all split as “simple” or “hard”. With simple, arithmetic and geometric sequences will use integer characteristics. Geometric sequences may also generate with unit-fraction ratios. With “hard” sequences, fractional terms are randomly generated.

All of these questions are fluency based skills which can be practiced repeatedly until they are second nature. That’s what this is for!

Please: Do not attempt every question in one go.

Contents: (50+ questions per section. It’s a lot.)

1. Given the first 4 terms of an Arithmetic or Geometric sequence, calculate a characteristic.
2. Given two terms of an arithmetic sequence, calculate a third.
3. Given two characteristics for an arithmetic sequence, calculate a third.
4. Given two terms of a geometric sequence, calculate a third.
5. Given two characteristics for a geometric sequence, calculate a third.
6. Given two characteristics and the sequence type, calculate a third.