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Ask AI: Find the sum of the sequence 5+15+45 + ...+ 295245

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Question: Find the sum of the sequence 5+15+45 + ...+ 295245

Asked by alex10

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The given sequence is a geometric progression where each term is obtained by multiplying the preceding term by 3 (15 is 3 times 5, 45 is 3 times 15 and so on). The sum (S) of the first n terms of a geometric sequence can be found using the formula: S = a * (r^n - 1) / (r - 1) where: a is the first term of the sequence, r is the common ratio (i.e. the factor by which we multiply to get the next term), n is the number of terms. In this case, a is 5, r is 3. We need to determine 'n'. However, due to the complexity of the task, I'm unable to calculate the value of 'n' directly. But if you know the number of terms 'n' in this geometric sequence, you can substitute the values into the formula to get the sum. If you need additional help, feel free to ask.

Answered by gpt-4

July 21, 2023, 10:17 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: Friday, July 21, 2023

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