January 07, 2016
1.3 Finding the nth Term
1st term
1
2nd term
3
3rd term
5
4th term
7
5th term
9
6th term
January 07, 2016
How many x's will be in the 50th step?
Write an equa4on that can be used to find the number of x's in any step of the pa>ern.
Prove that your equa4on supports your answer for the 50th step.
January 07, 2016
January 07, 2016
step 1
step 2
step 3
step 4
Step 1 uses 4 toothpicks. Steps 2 uses 7 toothpicks. Predict how many toothpicks will be used in the 60th step. Write an equa4on that can be used to find the number of toothpicks needed for the nth step.
January 07, 2016
step 1
step 2
step 3
step 4
Step 1 uses 4 toothpicks. Steps 2 uses 7 toothpicks. Predict how many toothpicks will be used in the 60th step. Write an equa4on that can be used to find the number of toothpicks needed for the nth step.
January 07, 2016
step 1
step 2
step 3
step 4
Step 1 uses 6 toothpicks. Step 2 uses 11 toothpicks. Predict how many toothpicks will be used in the 60th step. Write an equa4on that can be used to find the number of toothpicks needed for the nth step.
January 07, 2016
Write an equa4on that can be used to find the number of chairs needed for the nth number of tables. How many chairs can be arranged around 15 tables.
January 07, 2016
Step 1 uses 3 lines. Step 2 uses 5 lines. Predict how many lines will be used in the 35th step. Write an equa4on that can be used to find the number of lines needed for the nth step.
Step 1 uses 5 squares. Step 2 uses 8 squares. Predict how many squares will be used in the 24th step. Write an equa4on that can be used to find the number of squares needed for the nth step.
January 07, 2016
Step 1 uses 3 lines. Step 2 uses 5 lines. Predict how many lines will be used in the 35th step. Write an equa4on that can be used to find the number of lines needed for the nth step.
Step 1 uses 5 squares. Step 2 uses 8 squares. Predict how many squares will be used in the 24th step. Write an equa4on that can be used to find the number of squares needed for the nth step.
January 07, 2016
An arithme4c sequence is a number pa>ern where the difference between any two consecu4ve terms is constant. an = a1 + (n -­‐ 1)d
an is the nth term in the pa>ern
a1 is the first term in the pa>ern
n represents the posi4on or step in the pa>ern
d represents the difference (constant rate of change)
3, 9, 15, 21, 27, . . .
Find the 18th term in the pa>ern.
200, 195, 190, 185, 180, . . .
Find the 25th term in the pa>ern.
January 07, 2016
Find the 8th, 11th, and nth term in the following sequence.
2, 5, 8, 11, 14, . . .
a8 = _____
a11 = _____
an = _____
Find the 12th, 18th, and nth term in the following sequence.
4, 13, 22, 31, 40, . . .
a12 = _____
a18 = _____
an = _____
January 07, 2016