You are given the first five terms of the sequence, namely t₁, t2, t3, ta, ts. (a) 99,94, 89, 84, 79,... (b) 3,-6, 12, -24, 48,... (c) 4,0,0, 4, 12,... Do ALL of the following items for each of parts (a), (b), and (c). + (i) Identify whether t₁, t2, t3,... is an arithmetic sequence, geometric sequence, or quadratic sequence. Briefly explain your answer. (ii) Find an explicit formula for tn, the nth term of the sequence. Clearly justify why your formula is correct. (iii) Determine t10, the 10th term of the sequence.
You are given the first five terms of the sequence, namely t₁, t2, t3, ta, ts. (a) 99,94, 89, 84, 79,... (b) 3,-6, 12, -24, 48,... (c) 4,0,0, 4, 12,... Do ALL of the following items for each of parts (a), (b), and (c). + (i) Identify whether t₁, t2, t3,... is an arithmetic sequence, geometric sequence, or quadratic sequence. Briefly explain your answer. (ii) Find an explicit formula for tn, the nth term of the sequence. Clearly justify why your formula is correct. (iii) Determine t10, the 10th term of the sequence.
Chapter9: Sequences, Probability And Counting Theory
Section9.1: Sequences And Their Notations
Problem 69SE: Find a recursive formula for the sequence 1,0,1,1,0,1,1,0,1,1,0,1,1,... (Hint: find a pattern for an...
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Transcribed Image Text:You are given the first five terms of the sequence, namely t1, t2, t3, ta, ts.
(a) 99,94, 89, 84, 79,...
(b) 3, -6, 12, -24, 48, ...
(c) 4,0, 0, 4, 12,...
Do ALL of the following items for each of parts (a), (b), and (c).
+
(i) Identify whether t₁, t2, t3,... is an arithmetic sequence, geometric sequence, or quadratic sequence.
Briefly explain your answer.
(ii) Find an explicit formula for tn, the nth term of the sequence. Clearly justify why your formula is
correct.
(iii) Determine t10, the 10th term of the sequence.
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