Find the common ratio, r, in the following geometric sequence. 2, 6, 18, 54, … 3 -3 4 9 ?

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Find the common ratio, r, in the following geometric sequence. 2, 6, 18, 54, … 3 -3 4 9 ?

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Answer 1 · 2018-05-11T08:42:23

$r = 3$ $r=3$

Explanation:

$in a geometric sequence the common ratio r is the$ $"in a geometric sequence the common ratio r is the"$
$ratio between consecutive terms in the sequence$ $"ratio between consecutive terms in the sequence"$

$r = \frac{a_{2}}{a_{1}} = \frac{a_{3}}{a_{2}} = \frac{a_{n}}{a_{n - 1}}$ $r=a_2/a_1=a_3/a_2=a_n/a_(n-1)$

$here r = \frac{6}{2} = \frac{18}{6} = \frac{54}{18} = 3$ $"here "r=6/2=18/6=54/18=3$

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Find the common ratio, r, in the following geometric sequence. 2, 6, 18, 54, … 3 -3 4 9 ?

1 Answer

Explanation:

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