9.3 Arithmetic Sequence.notebook

9.3 Arithmetic Sequence.notebook
Bellwork: 3/31/15
April 01, 2015
Arithmetic Sequence
Find the 5th term of each sequence.
Find the indicated terms of an arithmetic sequence.
1. an = n + 6
2. an = 4 – n
Find the sums of arithmetic series.
3. an = 3n + 4
Write a possible explicit rule for the nth term of each sequence.
4. 4, 5, 6, 7, 8,…
5. –3, –1, 1, 3, 5, …
Apr 17­9:07 AM
Apr 17­9:08 AM
Determine whether the sequence could be arithmetic. If so, find the common first difference and the next term.
arithmetic sequence
–10, –4, 2, 8, 14, …
–2, –5, –11, –20, –32, …
1.9, 1.2, 0.5, –0.2, –0.9, ...
Apr 17­9:08 AM
Apr 17­9:08 AM
1
9.3 Arithmetic Sequence.notebook
April 01, 2015
Find the 12th term of the arithmetic sequence 20, 14, 8, 2,­4, ....
Find the 11th term of the arithmetic sequence.
–3, –5, –7, –9, …
9.2, 9.15, 9.1, 9.05, …
Apr 17­9:08 AM
Bellwork: 4/25/14
1) Write down one or two ideas that still confuse you about sequences/series
2) Write down one or two ideas that you completely understand about sequences/
series.
Apr 24­8:07 AM
Apr 17­9:08 AM
Find the missing terms in the arithmetic sequence
17, , , , –7.
2, , , , 0
Apr 17­9:08 AM
2
9.3 Arithmetic Sequence.notebook
April 01, 2015
Find the 5th term of the arithmetic sequence with a8 = 85 and a14 = 157.
Find the 11th term of each arithmetic sequence.
a3 = 20.5 and a8 = 13
Find the 11th term of the arithmetic sequence.
a2 = –133 and a3 = –121
Apr 17­9:08 AM
Apr 17­9:08 AM
Find the indicated sum for the arithmetic series.
S18 for 13 + 2 + (–9) + (–20) + ...
arithmetic series Sn= n(a1+an)
S16 for 12 + 7 + 2 +(–3)+ …
Apr 17­9:08 AM
Apr 17­9:19 AM
3
9.3 Arithmetic Sequence.notebook
The center section of a concert hall has 15 seats in the first row and 2 additional seats in each subsequent row.
April 01, 2015
HOUSE OF CARDS You are making a
house of cards similar to the one shown.
a. Write a rule for the number of cards
How many seats are in the 20th row?
in the nth row if the top row is row 1.
b. What is the total number of cards if
the house of cards has 14 rows?
How many seats in total are in the first 20 rows?
Apr 17­9:20 AM
Mar 30­9:41 AM
Mar 31­3:14 PM
4