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Find the common ratio of the sequence. -164, -82, -41, -20.5, . . .
Solution:
Given sequence is -164, -82, -41, -20.5, . . .
Common ratio = t2 / t1 = -82 / -164 = 1 / 2
Also t3 / t2 = -41 / -82 = 1/2
The ratio 1 / 2 is the same in the sequence, hence called the common ratio.
In general if a1, a2, a3, a4,...,an are n terms of geometric progression then,
Common ratio, r = an /an - 1 where, an is the nth term of the geometric progression and an - 1 is the (n - 1)th term of the geometric progression.
Find the common ratio of the sequence. -164, -82, -41, -20.5, . . .
Summary:
The common ratio of the sequence -164, -82, -41, -20.5, . . . is 1/2.
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