In lesson 11.2 we learned about Arithmetic Sequences and Series.
-Objectives- *Identify Arithmetic series
Vocabulary *Arithmetic sequence- a sequence in which the difference between consecutive terms is constant. *Common difference- the difference between consecutive terms in an arithmetic sequence. *Arithmetic mean- the sum of two numbers divided by 2
*Formulas Common difference- a2-a1 a3-a4 a4-a3 i.e.= any term minus proceeding term Arithmetic Sequence formulas: *Recursive: an=a(n-1)+d *Explicit: an=a1+(n-1)d
Key: an=nth term (n-1)= position d= common diffence
Example 2 page 595: 1100=a1 1135=a2 1170=a3 a2= amount after the first pledge a76=amount after 75 pledges
I teach AP Calculus, Pre AP Precalculus, and Advanced Algebra/Trigonometry at Muscle Shoals High School. In my spare time, I enjoy spending time with my family and granddaughters. My husband and I like to travel and visited Germany and France last summer. I also enjoy reading, art and music.
Last spring, I read The Other Boleyn Girl by Philippa Gregory. I am currently reading the Constant Princess (by the same author).
I love "anything about England".
"SUGGESTED READING LIST" The Mathematical Traveler. It is a great book that combines history and interesting facts about famous mathematicians. See me if you want to "check it out".
1 comment:
In lesson 11.2 we learned about Arithmetic Sequences and Series.
-Objectives-
*Identify Arithmetic series
Vocabulary
*Arithmetic sequence- a sequence in which the difference between consecutive terms is constant.
*Common difference- the difference between consecutive terms in an arithmetic sequence.
*Arithmetic mean- the sum of two numbers divided by 2
*Formulas
Common difference- a2-a1
a3-a4
a4-a3
i.e.= any term minus proceeding term
Arithmetic Sequence formulas:
*Recursive: an=a(n-1)+d
*Explicit: an=a1+(n-1)d
Key: an=nth term
(n-1)= position
d= common diffence
Example 2 page 595:
1100=a1 1135=a2 1170=a3
a2= amount after the first pledge
a76=amount after 75 pledges
d=35 n=76 a1=1100 find a76
a76=1100+(76-1)35
a76=1100+75(35)
a76=3725
-Lauren Thornton=)
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