Find the First Term and the Common Ratio for the Geometric

question 538

Multiple Choice

Find the first term and the common ratio for the geometric sequence. Round approximations to the nearest hundredth.
- $$a _ { 2 } = 9 , a _ { 6 } = 729$$

• A) \(\mathrm { a } _ { 1 } = 3 , \mathrm { r } = 0.33\)
• B) \(\mathrm { a } _ { 1 } = 3 , \mathrm { r } = 3\)
• C) \(\mathrm { a } _ { 1 } = 729 , \mathrm { r } = 0.33\)
• D) \(a _ { 1 } = 9 , r = 3\)

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Definitions:

Fixed-Ratio

A schedule of reinforcement where a response is rewarded only after a specified number of responses, encouraging a high, stable rate of responding.

Variable-Ratio

A reinforcement schedule in which a response is reinforced after an unpredictable number of responses, leading to high and steady response rates.

Latent Learning

Learning that occurs without reinforcement but is not demonstrated until there is an incentive to perform.

Shaping

A method of training by which successive approximations toward a target behavior are reinforced, used especially in behavior therapy.