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Diano4ka-milaya [45]
3 years ago
8

Find an explicit formula that generates a sequence whose first four terms are: 24, 36, 54, 81

Mathematics
2 answers:
Basile [38]3 years ago
7 0
7 is the right answer to the question
sattari [20]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

These are the first 4 terms of a geometric sequence with n th term

a_{n} = a₁ (r)^{n-1}

where a₁ is the first term and r the common ratio

r = 36 ÷ 24 = 54 ÷ 36 = 81 ÷ 54 = 1.5 and a₁ = 24, hence

a_{n} = 24 (1.5)^{n-1} ← explicit formula

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