Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 8PT: What is the 11thterm of the geometric sequence 1.5,3,6,12,... ?
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Topic Video
Question
Identify any geometric sequences among the following.
(a) 1, 4, 9, 16, . . .
(b) 1, 4, 7, 10, . . .
(c) 1, 4, 16, 64, . . .
Expert Solution
Step 1
It is known that, for a sequence to be a geometric sequence, there must exist a common ration r such that
Consider the given sequence 1, 4, 9, 16, . . .
Take the ratio of the first two terms,
Hence, the given sequence 1, 4, 9, 16, . . . is not a geometric sequence.
Step 2
Consider the given sequence 1, 4, 7, 10, . . .
Take the ratio of the first two terms,
Hence, the given sequence1, 4, 7, 10, . . . is not a geometric sequence.
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