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Sequences -nth term, common difference, examples and worksheet
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Sequences -nth term, common difference, examples and worksheet

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Section A: Step 1: Find the term-by-term difference. For the sequence 7, 10, 13, 16, 19, … the term-by-term difference is 3. Step 2: Use the term-by-term difference to make an estimate for the nth term. If the nth term was 𝟑𝟑𝟑 then the sequence would be 3, 6, 9, 12, 15, … Step 3: Compare the estimate and work out the difference between the sequences generated. Use the difference to find the formula for the nth term. Section B: For the nth term 𝟑𝟑𝟑 + 1, give the first 5 terms and the 90th term of the sequence Step 1: Find the first five terms by substituting 𝟑 = 1, 2, 3, 4, 5 into the nth term formula. Find the 90th term by substituting 𝟑 = 90 into the nth term formula.