# The nth term of a sequence by sdfwerte

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• pg 1
```									                Number patterns
When we are given a number pattern, we can
see it more clearly if we arrange it in a table:

3,        5,         7,        9,       11
Number patterns
When we are given a number pattern, we can
see it more clearly if we arrange it in a table:

red
1         2         3         4            5
tiles
blue
3         5         7         9        11
tiles
Number patterns
Then we look at the number pattern and see
how much it increases/decreases each time:

red
1        2        3        4          5
tiles
blue
3        5        7        9          11
tiles
Number patterns
Then we look at the number pattern and see
how much it increases/decreases each time:

red
1        2        3        4          5
tiles
blue
3        5        7        9          11
tiles

2
Number patterns
Then we look at the number pattern and see
how much it increases/decreases each time:

red
1        2        3        4          5
tiles
blue
3        5        7        9          11
tiles

2        2
Number patterns
Then we look at the number pattern and see
how much it increases/decreases each time:

red
1        2        3        4          5
tiles
blue
3        5        7        9          11
tiles

2        2        2         2
Number patterns
This number gives us the first part of our
formula:

red
1           2            3       4       5
tiles
blue
3           5            7       9       11
tiles

2        2            2       2

blue tiles =       x red tiles
Number patterns
This number gives us the first part of our
formula:

red
1           2            3       4       5
tiles
blue
3           5            7       9       11
tiles

2        2            2       2

blue tiles =       x red tiles
Number patterns
This number gives us the first part of our
formula:

red
1         2            3       4       5
tiles
blue
3         5            7       9       11
tiles

2        2            2       2

blue tiles = 2   x red tiles
Number patterns
Then we test our formula to see if we get the
correct number of blue tiles:

red
1         2            3     4           5
tiles
blue
3         5            7     9           11
tiles

blue tiles = 2   x red tiles
Number patterns
Then we test our formula to see if we get the
correct number of blue tiles:

red
1         2            3     4           5
tiles
2x red
blue
3         5            7     9           11
tiles

blue tiles = 2   x red tiles
Number patterns
Then we test our formula to see if we get the
correct number of blue tiles:

red
1         2            3     4           5
tiles
2x red     2         4            6     8           10
blue
3         5            7     9           11
tiles

blue tiles = 2   x red tiles
Number patterns
Then we test our formula to see if we get the
correct number of blue tiles: We do not.
We must add 1 each time
red
1         2            3     4           5
tiles
2x red     2         4            6     8           10
blue
3         5            7     9           11
tiles

blue tiles = 2   x red tiles
Number patterns
Then we test our formula to see if we get the
correct number of blue tiles: We do not.
We must add 1 each time
red
1         2        3         4           5
tiles
2x red     2         4        6         8           10
blue
3         5        7         9           11
tiles
So we must add one to the formula:
blue tiles = 2 x red tiles
Number patterns
Then we test our formula to see if we get the
correct number of blue tiles: We do not.
We must add 1 each time
red
1         2        3         4           5
tiles
2x red     2         4        6         8           10
blue
3         5        7         9           11
tiles
So we must add one to the formula:
blue tiles = 2 x red tiles + 1
Number patterns
Then we test our formula to see if we get the
correct number of blue tiles:

red
1         2        3         4           5
tiles
2x red     2         4        6         8           10
blue
3         5        7         9           11
tiles
Finally, we should check the formula:
blue tiles = 2 x red tiles + 1
Number patterns
Then we test our formula to see if we get the
correct number of blue tiles:

red
1         2          3       4           5
tiles
2x red     2         4          6       8           10
blue
3         5          7       9           11
tiles
Finally, we should check the formula:
blue tiles = 2 x red tiles + 1
For 5 red tiles = 2 x 5 + 1
= 10 + 1 = 11
Number patterns
Then we test our formula to see if we get the
correct number of blue tiles:

red
1         2            3        4           5
tiles
2x red     2         4            6        8        10
blue
3         5            7        9        11
tiles

blue tiles = 2   x red tiles       +1
For 5 red tiles = 2 x 5 + 1                correct !
= 10 + 1 = 11
Number patterns
So blue tiles = 2 x red tiles + 1
is the formula for our number pattern

red
1         2            3        4           5
tiles
2x red     2         4            6        8       10
blue
3         5            7        9       11
tiles

blue tiles = 2   x red tiles       +1
For 5 red tiles = 2 x 5 + 1                correct !
= 10 + 1 = 11

```
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