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Salsk061 [2.6K]
2 years ago
14

What is the explict formula for this sequence 5, 10, 20, 40, 80, 160, ...

Mathematics
2 answers:
serg [7]2 years ago
4 0

Answer:

a_{n} = 5(2)^{n-1}

Step-by-step explanation:

there is a common ratio between consecutive terms , that is

10 ÷ 5 = 20 ÷ 10 = 40 ÷ 20 = 80 ÷ 40 = 2

this indicates the sequence is geometric with explicit formula

a_{n} = a₁(r)^{n-1}

where a₁ is the first term and r the common ratio

here a₁ = 5 and r = 2 , then

a_{n} = 5 (2)^{n-1}

Tcecarenko [31]2 years ago
3 0

Step-by-step explanation:

as we see in the sequence, each term is twice of the previous term.

we mark the Nth as a(N), then:

a(N)=2a(N-1)

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