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Mathematics

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Quadratic sequences worksheet

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### Question 1: Quadratic sequences

- Write down the first 10 terms for the sequences defined by the following quadratic formulae.n
^{th}term = 2n^{2}+ 4n^{th}term = 2n^{2}- 8n^{th}term = 5n^{2}- 14n^{th}term = 10n^{2}+ 5n - 1n^{th}term = -4n^{2}+ 4n + 4n^{th}term = -6n^{2}+ 2n - 5

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### Question 3: Using differences

- Find the first and second difference for the following sequence
sequence: -6 -2 10 30 58 94 First difference: Second difference:

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### Question 3: Finding nth term

- Write down the nth term formula for the following sequences.-8,-5,0,7,16,27-9,-6,-1,6,15-1,2,7,14,239,12,17,24,332,5,10,17,26,37-2,1,6,13,222,5,10,17,26,37,50-5,-2,3,10,19,3010,13,18,25,346,9,14,21,30
- Work out an nth term formula for the triangular numbers1, 3, 6, 10, 15, 21

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