Arithmetic Sequences by Recursion (Grade 11)
Free printable Grade 11 General Mathematics worksheet: arithmetic sequences generated by a recurrence relation a(n+1) = a(n) + d, modelling linear growth and decay. Every term computed by running the recurrence (ACMGM067-070).
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Grade 11 · Math worksheet
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Math
Growth & Decay: Arithmetic Sequences by Recursion
Use each arithmetic recurrence relation a(n+1) = a(n) + d. List terms, find the nth term with the rule a(n) = a(1) + (n - 1)d, or read off the common difference.
- 1.A sequence is defined by a(1) = 19 and the recurrence relation a(n+1) = a(n) + 6. List the first 5 terms.
- 2.A sequence is defined by a(1) = 101 and the recurrence relation a(n+1) = a(n) - 5. List the first 5 terms.
- 3.A sequence is defined by a(1) = 62 and the recurrence relation a(n+1) = a(n) - 3. List the first 6 terms.
- 4.A sequence is defined by a(1) = 7 and the recurrence relation a(n+1) = a(n) + 8. List the first 6 terms.
- 5.An arithmetic sequence has first term a(1) = 11 and common difference d = -6. Find the 11th term a(11).
- 6.An arithmetic sequence has first term a(1) = 11 and common difference d = -2. Find the 14th term a(14).
- 7.An arithmetic sequence has first term a(1) = 3 and common difference d = -7. Find the 20th term a(20).
- 8.An arithmetic sequence has first term a(1) = 11 and common difference d = -2. Find the 20th term a(20).
- 9.The arithmetic sequence 14, 22, 30, 38, ... is generated by a recurrence relation. State the common difference d.
- 10.The arithmetic sequence 4, 11, 18, 25, ... is generated by a recurrence relation. State the common difference d.
- 11.The arithmetic sequence 9, 16, 23, 30, ... is generated by a recurrence relation. State the common difference d.
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