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Misha Larkins [42]
2 years ago
12

Formula for the geometric sequence 1/2, 1, 2, 4

Mathematics
1 answer:
zmey [24]2 years ago
5 0

Answer:

a_{n} = \frac{1}{2} (2)^{n-1}

Step-by-step explanation:

the nth 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 = \frac{1}{2} and r = \frac{a_{2} }{a_{1} } = \frac{1}{\frac{1}{2} } = 2 , then

a_{n} = \frac{1}{2} (2)^{n-1}

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