AQA · Mathematics · 8300
GCSE Maths: Sequences: nth term for fractional sequences
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Sequences: nth term for fractional sequences (Corbettmaths Video 289), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.
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What is the general form of the nth term for an arithmetic sequence?
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an + b, where a is the common difference and b is a constant determined by the first term.
What is the nth term of the sequence 5, 8, 11, 14, ...?
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3n + 2
What is the nth term of the sequence 1, 3, 5, 7, ...?
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2n - 1
What is the nth term of the sequence 10, 7, 4, 1, ...?
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-3n + 13
Given the nth term formula 5n + 3, what are the first three terms of the sequence?
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8, 13, 18
How do you determine if a specific number is a term in an arithmetic sequence?
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Substitute the number into the nth term formula and solve for n. If n is a positive integer, the number is a term in the sequence.
What is the nth term of the sequence 6, 4, 2, 0, ...?
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-2n + 8
Given the nth term formula -7n + 20, what are the first three terms?
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13, 6, -1
How do you find which term in a sequence first exceeds a given value?
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Set the nth term formula greater than the value, solve the inequality for n, then round up to the nearest whole number.
What calculation gives the difference between the 10th and 50th terms of a sequence with nth term an + b?
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40a, where a is the common difference. (Because there are 40 steps between the 10th and 50th terms.)
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