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marissa [1.9K]
3 years ago
14

What is the fifth term of the sequence whose first term is 10 and whose common ratio is 1/2?

Mathematics
1 answer:
Alborosie3 years ago
4 0

Answer:

\frac{5}{8}

Step-by-step explanation:

The n th term of a geometric sequence is

a_{n} = a₁(r)^{n-1}

where a₁ is the first term and r the common ratio

here a₁ = 10 and r = \frac{1}{2}, thus

a_{5} = 10 × (1/2)^{4} = 10 × \frac{1}{16} = \frac{5}{8}

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