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Black_prince [1.1K]
3 years ago
6

What is the next term in the geometric sequence? 54,36,24

Mathematics
2 answers:
katovenus [111]3 years ago
8 0
I think 16...............
vodomira [7]3 years ago
7 0

Answer: 16

Step-by-step explanation:

The formular for calculating the nth term of a geometric progression is arⁿ⁻¹

WHERE a= first term, r = common ratio and n= number of term

a = 54

since we are looking for the fourth term n = 4

To get our common ratio; we simply divide a number by its preceding number

r = 36/54 = 2/3

our fourth term is;

Tn = arⁿ⁻¹

T₄ = 54 (2/3)⁴⁻¹

= 54 (2/3)³

=54(8/27)

= 432/27

=16

Therefore the next term is 16

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