∑ DANEMATHICS
FREE CAPS MATHS RESOURCES
Grade 11–12 · Number Patterns, Sequences and Series
Quadratic Number Patterns (Grade 11 & 12)
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Name:
Class:
Date:
Mark
/ 17
Answer all questions. Show all your working — marks are awarded for method as well as the final answer.
- 1Show that 3 ; 8 ; 17 ; 30 ; 47 is a quadratic pattern.(2)
- 2Determine Tₙ for 3 ; 8 ; 17 ; 30 ; 47(4)
- 3Which term of 3 ; 8 ; 17 ; 30 ; 47 equals 122?(3)
- 4Determine the general term of the pattern shown in the difference table below.(3)
- 51 ; p ; 11 ; … is a quadratic pattern whose first differences are 3 ; 7 ; … Determine p.(2)
- 6The second difference of a quadratic pattern is 6. Determine a.(1)
- 7Calculate T₁₀ if Tₙ = 2n² − n + 2.(2)
TOTAL: 17 marks