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Mathematics

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Quadratic sequences worksheet

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### Question 1: Quadratic sequences

- Write down the first 5 terms for the sequences defined by the following quadratic formulae.n
^{th}term = n^{2}- 10n^{th}term = -5n^{2}- 11n^{th}term = 3n^{2}+ 16n^{th}term = -8n^{2}- 2n + 3n^{th}term = 2n^{2}- 2n - 4n^{th}term = -2n^{2}- 4n - 5

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### Question 3: Using differences

- Find the first and second difference for the following sequence
sequence: 2 3 6 11 18 27 First difference: Second difference:

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### Question 3: Finding nth term

- Write down the nth term formula for the following sequences.7,10,15,22,31,42-8,-5,0,7,16,27,404,7,12,19,28,39-1,2,7,14,23-8,-5,0,7,16,27-4,-1,4,11,20,31,44-4,-1,4,11,2010,13,18,25,34,454,7,12,19,28,39,52-9,-6,-1,6,15
- Work out an nth term formula for the triangular numbers1, 3, 6, 10, 15, 21

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