Download Section 9.4 Sequences Arithmetic Sequence A sequence

May 12, 2015
Section 9.4
Sequences
Arithmetic Sequence
A sequence that is of the form
The number d is called the common
difference.
recursive formula:
explicit formula:
Find the first 4 terms and the fifty-third
term of the sequence
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The fifth and ninth terms of an arithmetic
sequence are -5 and -17, respectively.
Find the first term and a recursive rule for
the nth term.
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Geometic Sequence
A sequence that is of the form
The number r is called the common ratio
.
recursive formula:
explicit formula:
Given the geometric sequence -2, 2, -2, 2, ...
Find the common ratio.
Find the eighth term.
Find a recursive rule for then th term.
Find an explicit rule for then th term.
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The third and sixth terms of a geometic
sequence are -75 and -9375, respectively.
Find the first term, the common ratio and
an explicit rule for then th term.
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Let {an} be a sequence of real numbers, and
consider
If the limit is a finite number L, the sequence converges and L is the
limit of the sequence. If the limit is infinite
or nonexistent, the sequence diverges.
Does the
sequence converge?
This sequence will converge to 2.
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