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What is the common ratio in the following geometric sequence?. . 3, 12, 48, 192, ...
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Apr 2, 2017
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What is the common ratio in the following geometric sequence?. . 3, 12, 48, 192, ...
Mathematics
high-school
Janosch
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the answer is 4
hope you you have a good day
Andreas Violaris
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Apr 4, 2017
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Andreas Violaris
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a 1 = 3, a 2 = 12, a 3 = 48, a 4 = 192,...
This is a geometric sequence.
To find any term of a sequence we use formula:
a n = a 1 * r^( n - 1 )
a 2 = a 1 * r
12 = 3 * r
r = 12 : 3
r = 4
Also: 48 = 12 * 4 and 192 = 48 * 4
The common ratio is :
r = 4
AlbatrossCafe
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Apr 6, 2017
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