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What is the generating function for the sequence with closed formula an=4(7n)+6(−2)n?
  • a)
    (4/1−7x)+6!
  • b)
    (3/1−8x)
  • c)
    (4/1−7x)+(6/1+2x)
  • d)
    (6/1-2x) + 8
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
What is the generating function for the sequence with closed formula a...
For the given sequence after evaluating the formula the generating formula will be (4/1−7x)+(6/1+2x).
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Community Answer
What is the generating function for the sequence with closed formula a...
The generating function for the sequence with closed formula an = 4(7n) + 6 can be found using the definition of a generating function.

Let A(x) be the generating function for the sequence (an). Then, we have:

A(x) = a0 + a1x + a2x^2 + a3x^3 + ...

Substituting the closed formula an = 4(7n) + 6 into the generating function, we get:

A(x) = (4(7(0)) + 6) + (4(7(1)) + 6)x + (4(7(2)) + 6)x^2 + (4(7(3)) + 6)x^3 + ...

Simplifying, we have:

A(x) = 6 + 34x + 76x^2 + 130x^3 + ...

Therefore, the generating function for the sequence with closed formula an = 4(7n) + 6 is A(x) = 6 + 34x + 76x^2 + 130x^3 + ...
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What is the generating function for the sequence with closed formula an=4(7n)+6(−2)n?a)(4/1−7x)+6!b)(3/1−8x)c)(4/1−7x)+(6/1+2x)d)(6/1-2x) + 8Correct answer is option 'C'. Can you explain this answer?
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What is the generating function for the sequence with closed formula an=4(7n)+6(−2)n?a)(4/1−7x)+6!b)(3/1−8x)c)(4/1−7x)+(6/1+2x)d)(6/1-2x) + 8Correct answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about What is the generating function for the sequence with closed formula an=4(7n)+6(−2)n?a)(4/1−7x)+6!b)(3/1−8x)c)(4/1−7x)+(6/1+2x)d)(6/1-2x) + 8Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the generating function for the sequence with closed formula an=4(7n)+6(−2)n?a)(4/1−7x)+6!b)(3/1−8x)c)(4/1−7x)+(6/1+2x)d)(6/1-2x) + 8Correct answer is option 'C'. Can you explain this answer?.
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