(a) Is the sequence arithmetic, geometric, or neither? (b) Give a recursive definition for the sequence. Remember to include any needed initial term(s). (c) Give a closed formula for the sequence.
(a) Is the sequence arithmetic, geometric, or neither? (b) Give a recursive definition for the sequence. Remember to include any needed initial term(s). (c) Give a closed formula for the sequence.
Chapter9: Sequences, Probability And Counting Theory
Section9.3: Geometric Sequences
Problem 55SE: At which term does the sequence 10,12,14.4,17.28,... exceed 100?
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Transcribed Image Text:Consider the sequence 3, 7, 11, 15, 19, 23, ... (assuming a
=
= 3).
Transcribed Image Text:(a) Is the sequence arithmetic, geometric, or neither?
(b) Give a recursive definition for the sequence. Remember to include any needed initial
term(s).
(c) Give a closed formula for the sequence.
(d) How does the sequence (bn)nzo which begins 3, 10, 21, 36, 55, 78,... relate to the
original sequence (an)? (You do NOT need to find the closed formula for (bn).)
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