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 What is the sequence depicted by the generating series 4 + 15x2 + 10x3 + 25x5 + 16x6+⋯?
  • a)
    10, 4, 0, 16, 25, …
  • b)
    0, 4, 15, 10, 16, 25,…
  • c)
    4, 0, 15, 10, 25, 16,…
  • d)
    4, 10, 15, 25,…
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
What is the sequence depicted by the generating series 4 + 15x2+ 10x3+...
Consider the coefficients of each xn term. So a= 4, since the coefficient of x0 is 4 (x0=1 so this is the constant term). Since 15 is the coefficient of x2, so 15 is the term a2 of the sequence. To find a1 check the coefficient of x1 which in this case is 0. So a= 0. Continuing with these we have a= 15, a3=10, a= 25, and a= 16. So we have the sequence 4, 0, 15, 10, 25, 16,…
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What is the sequence depicted by the generating series 4 + 15x2+ 10x3+...
The sequence depicted by the generating series is 10, 4, 0, 16, 25.
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What is the sequence depicted by the generating series 4 + 15x2+ 10x3+ 25x5+ 16x6+?a)10, 4, 0, 16, 25, …b)0, 4, 15, 10, 16, 25,…c)4, 0, 15, 10, 25, 16,…d)4, 10, 15, 25,…Correct answer is option 'C'. Can you explain this answer?
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