12.2: 12.2: Arithmetic Arithmetic SequencesSequences

2, 5, 8, 11, 14,...

2, 5, 8, 11, 14,...Position vs. value…

Sequence:

Notation

a1=

... 54, 18, 6, 2,

a3=

2, 5, 8, 11, 14,...What is the pattern? What are the next three terms?

Arithmetic Sequence:

Common difference (d):

+3 +3 +3 +3

a) 3, 5, 9, 15, 23,...

b) 27, 16, 5, 6, ...Are these sequences arithmetic? Explain.

2, 5, 8, 11, 14,...Find a8

Find a104

+3 +3 +3 +3

The explicit formula for an

Arithmetic Sequence:

Where an is the value of the nth term, a1 is the value of the first term, n is the number of terms, and d is the common difference.

1 ( 1)na a n d

a) Find a formula for the nth term of the sequence. b) Use your formula to find a17.

60, 52,44, 36,...

One term of an arithmetic sequence is a27 = 263. The common difference for the sequence is d = 11.Find a rule for the nth term of the sequence.

Two terms of an arithmetic sequence are a10 = 148 and a44 = 556. Find a rule for the nth term of the sequence.