01/28/15 D. Smith 1
Linear sequences
A linear sequence is a name
for a list of numbers where
the next number is found by
a...
01/28/15 D. Smith 2
5, 8,
+3
01/28/15 D. Smith 3
5, 8, 11,
+3 +3
01/28/15 D. Smith 4
5, 8, 11, 14
+3 +3 +3
01/28/15 D. Smith 5
5, 8, 11, 14, 17…
+3 +3 +3 +3 etc
01/28/15 D. Smith 6
Finding the a rule for the nth term
Position (n)
1 2 3 4 5
Value
5 8 11 14 17
This is a rule that conn...
01/28/15 D. Smith 7
Find the nth
rule for this
sequence: 5, 8, 11, 14, 17…
 Make a table with 5 columns and write the
pos...
01/28/15 D. Smith 8
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
01/28/15 D. Smith 9
Find the difference between the
terms 8 – 5 = 3 and write it in
the third column
n Term Difference
1 5...
01/28/15 D. Smith 10
Write the difference
number multiplied by
the n number in the
fourth column
n Term Difference 3n
1 5 ...
01/28/15 D. Smith 11
Write the difference between the
value of 3n and the term in the
fifth column
n Term Difference 3n Te...
01/28/15 D. Smith 12
The nth rule is:
Term = 3n + 2
01/28/15 D. Smith 13
n Term = 3n + 2 Term
1 3 X 1 + 2 5
2 3 X 2 + 2 8
3 3 X 3 + 2 11
4 3 X 4 + 2 14
5 3 X 5 + 2 17
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Linera sequence

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Linera sequence

  1. 1. 01/28/15 D. Smith 1 Linear sequences A linear sequence is a name for a list of numbers where the next number is found by adding or subtracting a constant number. Here is an example:
  2. 2. 01/28/15 D. Smith 2 5, 8, +3
  3. 3. 01/28/15 D. Smith 3 5, 8, 11, +3 +3
  4. 4. 01/28/15 D. Smith 4 5, 8, 11, 14 +3 +3 +3
  5. 5. 01/28/15 D. Smith 5 5, 8, 11, 14, 17… +3 +3 +3 +3 etc
  6. 6. 01/28/15 D. Smith 6 Finding the a rule for the nth term Position (n) 1 2 3 4 5 Value 5 8 11 14 17 This is a rule that connects a term’s position (n) with its value.
  7. 7. 01/28/15 D. Smith 7 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
  8. 8. 01/28/15 D. Smith 8 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
  9. 9. 01/28/15 D. Smith 9 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
  10. 10. 01/28/15 D. Smith 10 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
  11. 11. 01/28/15 D. Smith 11 Write the difference between the value of 3n and the term in the fifth column n Term Difference 3n Term – 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
  12. 12. 01/28/15 D. Smith 12 The nth rule is: Term = 3n + 2
  13. 13. 01/28/15 D. Smith 13 n Term = 3n + 2 Term 1 3 X 1 + 2 5 2 3 X 2 + 2 8 3 3 X 3 + 2 11 4 3 X 4 + 2 14 5 3 X 5 + 2 17

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