Question 1
The first term of an arithmetic sequence is $a_1 = 12$ and the common difference is $d = 5$. Use the recursive formula $a_n = a_{n-1} + d$ to find the 7th term of the sequence.
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General Mathematics · Unit 3 · Growth and decay in sequences · The arithmetic sequence
Use recursion to generate an arithmetic sequence.
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Question 2
A theatre company tracks the number of season ticket holders over five consecutive years. The table shows the number of ticket holders recorded at the end of each year. Use a recursive rule to determine the number of season ticket holders at the end of Year 6.
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Question 3
A recursive rule for an arithmetic sequence is defined as $a_1 = 18$ and $a_n = a_{n-1} - 5$ for $n \geq 2$. Which option shows the correct next three terms after the first term?
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More in The arithmetic sequence
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Use arithmetic sequences to model and analyse practical situations involving linear growth or decay, e.g. analysing a simple interest loan or investment, calculating a taxi fare based on the flag fall and the charge per kilometre, calculating the value of an item using the straight -line method of depreciation. General Mathematics 2025 v1.3
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Use the rule for the 𝑛th term of an arithmetic sequence. 𝑡𝑛 = 𝑡1 + (𝑛 − 1)𝑑 where 𝑡𝑛 is 𝑛th term, 𝑡1 is first term, 𝑛 is term number and 𝑑 is common difference