Year 9 · Maths
Use sequences to find the nth term in Year 9 Maths
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Focus on finding the nth term of an arithmetic sequence. Start with “Find the nth Term in Arithmetic Sequences”, then explain the idea in your own words.
Understand the key idea
The nth term is a rule that finds any term in a sequence from its position. For an arithmetic sequence, start with the common difference, write that number multiplied by n, then adjust the rule so it gives the correct first term.
Common mix-up
The nth-term rule is not the same as the instruction for finding only the next term.
Try this first
- Find the common difference.
- Use the difference as the coefficient of n.
- Substitute n = 1 and adjust the constant until the rule gives the first term.
Ask: How can you test the rule against the first three terms?
Year 9 learners practise finding the nth term of an arithmetic sequence.
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- Find the nth Term in Arithmetic Sequences
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