Section 11.2 Arithmetic Sequences and Series. Arithmetic Sequences & Series Arithmetic...
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Transcript of Section 11.2 Arithmetic Sequences and Series. Arithmetic Sequences & Series Arithmetic...
Section 11.2Arithmetic Sequences and Series
Arithmetic Sequences & SeriesArithmetic Sequences Arithmetic Series
• 2, 4, 6, 8,…
• 9, 5, 1, -3,…
• 7, 11/2, 4, 5/2,…
• 2 + 4 + 6 + 8 + 10
• 9 + 5 + 1 – 3 – 7 - 11
• 7 + 11/2 + 4 + 5/2
Rule for an Arithmetic Sequence•The nth term of an arithmetic sequence
with first term a1 and common difference of d is given by:
)1(1 ndaanDon’t leave it in this form after you plug-in values.
)1(32 nan 332 nan 13 nan
If the first term 2 and common difference is 3
The Sum of a Finite Arithmetic Series
•The sum of the first n terms of an arithmetic series is:
2
)( 1 nn
aanS
Finding the Sum of a Series in Summation Notation•Recall formulas from 11.1:
n
n1
1
n nni
1 2
)1(
Assignment
•11.2 Practice C#1-17, 20,22-25