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meriva
3 years ago
11

What is the recursive formula for the geometric sequence with this explicit formula? an=6*(-1/4)^(n-1)

Mathematics
1 answer:
igomit [66]3 years ago
5 0

Answer:

A

Step-by-step explanation:

The explicit formula for a geometric sequence is

a_{n} = a₁(r)^{n-1}

where a₁ is the first term and r the common ratio

Given the explicit formula

a_{n} = 6(-\frac{1}{4}) ^{n-1}

where a₁ = 6 and r = - \frac{1}{4}

A recursive formula allows any term in the sequence to be found by multiplying the previous term by r , thus

a_{n} = a_{n-1} (- \frac{1}{4}) with a₁ = 6 → A

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