Nth term

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Nth term

  1. 1. 01/29/15 D. Smith 1 How to find the nth rule for a linear sequence
  2. 2. 01/29/15 D. Smith 2 Find the nth rule for this sequence: 5, 8, 11, 14, 17…  Make a table with 5 columns and write the position of the terms – 1st 2nd 3rd 4th etc as the n numbers in the first column n 1 2 3 4 5
  3. 3. 01/29/15 D. Smith 3 Put the terms into the second column, 5, 8, 11, 14, 17… n Term 1 5 2 8 3 11 4 14 5 17 6
  4. 4. 01/29/15 D. Smith 4 Find the difference between the terms 8 – 5 = 3 and write it in the third column n Term Difference 1 5 3 2 8 3 3 11 3 4 14 3 5 17 3 6
  5. 5. 01/29/15 D. Smith 5 Write the difference number multiplied by the n number in the fourth column n Term Difference 3n 1 5 3 3 2 8 3 6 3 11 3 9 4 14 3 12 5 17 3 15 6
  6. 6. 01/29/15 D. Smith 6 Write the difference between the value of 3n and the term in the fifth column n Term Difference 3n 1 5 3 3 2 2 8 3 6 2 3 11 3 9 2 4 14 3 12 2 5 17 3 15 2 6
  7. 7. 01/29/15 D. Smith 7 The nth rule is: Term = 3n + 2

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