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Which expression models the series progression 24, 144, 864,5184....A. 24 x 6^n B. 4 x 6^n C. Multiplying by sixes D. 24

1 Answer

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The first step is to determine if the sequence is arithmetic or geometeric. In a geometric sequence, the ratio of two consecutive terms is constant.This constant term is called the common ratio, r. This means that

144/24 = 864/144 = 6

The formula for determining the nth term, Tn of a geometric sequence is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence

r represents the common ratio

n represents the number of terms

From the given information,

a = 24, r = 6

The expression for the nth term would be

24 x 6^n - 1

The correct option would be C because each term is being multiplied by 6 to get the next term.

User Jamesrom
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