A23a – Generating terms of a sequence from either a term-to-term or a position-to-term rule

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A starting point

1. I’m thinking of a sequence of numbers. My sequence goes up in steps of 4. Do you have enough information to work out the sequence I’m thinking of? If so, can you work out, say, the third number in my sequence?
2. I’m thinking of a different sequence. This sequence goes up in steps of 9. The first number in my sequence is 100. Do you have enough information to work out the sequence I’m thinking of? If so, can you work out, say, the tenth number in my sequence?
3. I’m now thinking of another sequence. This sequence goes up in steps of 5. The third number in my sequence is 37. Do you have enough information to work out the sequence I’m thinking of? If so, can you work out, say, the first number in my sequence?

Part 1 – Generating a sequence using a term-to-term rule

Teacher resources for Part 1

• Slides in PPTX (with click-to-reveal answers)
• Slides in PDF (one slide per page, suitable for importing into IWB software)
• Worksheet (with space for student work)
• Handout (slides with exercises only; 4 per page for reduced printing)

Part 2 – Generating a sequence using a position-to-term rule (nth term)

Teacher resources for Part 2

• Slides in PPTX (with click-to-reveal answers)
• Slides in PDF (one slide per page, suitable for importing into IWB software)
• Worksheet (with space for student work)
• Handout (slides with exercises only; 4 per page for reduced printing)