Finding the nth term In each question there are four terms of a sequence of numbers: a) Write down the rule using n to represent the nth term. b) Find the 10th and 15th terms. Term 1 2 3 4 Sequence 1 4 7 10 Term 1 2 3 4 Sequence 1 3 5 7 Term 1 2 3 4 Sequence 1 4 7 10 Term 1 2 3 4 Sequence 8 13 18 23 Term 1 2 3 4 Sequence 9 13 17 21 Term 1 2 3 4 Sequence 6 9 12 15 Term 1 2 3 4 Sequence 1 3 5 7 Nth 10 15 Nth 10 15 Nth 10 15 Nth 10 15 Nth 10 15 Nth 10 15 Nth 10 15 Term 1 2 3 4 Sequence 3 7 11 15 Term 1 2 3 4 Sequence 7 10 13 16 Term 1 2 3 4 Sequence 1 6 11 16 Term 1 2 3 4 Sequence 7 11 15 19 Term 1 2 3 4 Sequence 3 8 13 18 Term 1 2 3 4 Sequence 0 4 8 12 Term 1 2 3 4 Sequence 5 11 17 23 Term 1 2 3 4 Sequence 6 11 16 21 Term 1 2 3 4 Sequence 8 14 20 26 Nth 10 15 Nth 10 15 Nth 10 15 Nth 10 15 Nth 10 15 Nth 10 15 Nth 10 15 Nth 10 15 Nth 10 15 Term 1 2 3 4 Sequence 29 28 27 26 Term 1 2 3 4 Sequence 0 3 6 9 Term 1 2 3 4 Sequence 9 14 19 24 Term 1 2 3 4 Sequence 48 46 44 42 Nth 10 15 Nth 10 15 Nth 10 15 Nth 10 15 Extension The following sequences are quadratic; by completing independent research using MyMaths and Bitesize can you complete the following tables. Term 1 2 3 4 Sequence 5 8 13 20 Term 1 2 3 4 Sequence 3 8 15 24 Term 1 2 3 4 Sequence 6 12 20 30 Nth 10 15 Nth 10 15 Nth 10 15
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