In an ascending geometric sequence, (𝑎5)2=3𝑎10, and for any three consecutive terms, 2(𝑎𝑛+𝑎𝑛+2)=5𝑎𝑛+1. Find the first term of the geometric sequence.

Question

In an ascending geometric sequence, (𝑎5)2=3𝑎10, and for any three consecutive terms, 2(𝑎𝑛+𝑎𝑛+2)=5𝑎𝑛+1. Find the first term of the geometric sequence.
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Solution 1

To solve this problem, we need to use the properties of geometric sequences and the given equations.

  1. In a geometric sequence, each term is the product of the previous term and a constant ratio (r). So, we can express the 5th term (a5) and the 10th term (a10) in terms of the first term (a1) and t Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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