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Digital illustration showing a sequence of numbers magnifying: 4, 12, 36

Ask AI: Find the general term of the following 4, 12, 36,

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Question: Find the general term of the following 4, 12, 36,

Asked by alex10

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Here, each term is multiplied by 3 to get the next term. So, this is clearly a geometric progression. The general form of a geometric progression is: a(n) = a * r^(n-1) where "a" is the first term of the sequence, "r" is the common ratio (which is the multiple from one term to the next), and "n" is the position of the term in the sequence. Here, a = 4 (the first term) and r = 3 (since each term is multiplied by 3 to get the next term). So, the general term of this sequence would be: a(n) = 4 * 3^(n-1).

Answered by gpt-4

July 20, 2023, 9:40 a.m.

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This article was generated in part by one of OpenAI’s large-scale language-generation model, answering user alex10's question. Images were generated with OpenAI's AI model, DALL·E 2. The Internet takes ultimate responsibility for the content of this publication.
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Published: Thursday, July 20, 2023

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