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DIA [1.3K]
3 years ago
5

What is the value of the fourth term in a geometric sequence for which a1= 30 and r = 1/2

Mathematics
1 answer:
Viktor [21]3 years ago
4 0

Answer:

a_{4} = 3.75

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 = 30 and r = \frac{1}{2}, thus

a_{4} = 30(\frac{1}{2}) ^{3} = 30 × \frac{1}{8} = \frac{30}{8} = \frac{15}{4} = 3.75

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