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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 = 5n^{2}+ 3n^{th}term = -2n^{2}- 6n^{th}term = 5n^{2}- 19n^{th}term = 6n^{2}+ 5n + 1n^{th}term = n^{2}+ 3n - 4n^{th}term = 6n^{2}+ 5n + 1

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### Question 3: Using differences

- Find the first and second difference for the following sequence
sequence: 0 3 12 27 48 75 First difference: Second difference:

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### Question 3: Finding nth term

- Write down the nth term formula for the following sequences.0,3,8,15,241,4,9,16,25,36-1,2,7,14,23,342,5,10,17,26,37,5010,13,18,25,34,45,58-2,1,6,13,22,33,466,9,14,21,30,414,7,12,19,28,392,5,10,17,26,37-5,-2,3,10,19
- Work out an nth term formula for the triangular numbers1, 3, 6, 10, 15, 21

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