Determine the interval of convergenee for the series 2(-1)" (2x – 3)"

Q: Determine the sequence of the generating function A(s) = (1– 2 -9)2 |s| < 1

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Q: * (x+7)" convergent range of series n=1 Select one: a. (-1-7,1-7] (-1,1-7) O C. [z-1,1-7] O d.…

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Q: Σ=on + 5") (-1)" 5n Find the sum of this infinite Series Σ=on +

A: Here we have to find the sum of given infinite series

Q: es 1 + (-3) + (- 3)² + (- 3)³ + (- 3)* + ...

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Q: Q\ Find the infimum and supremum of the sequence (a„)nen = (n(1 +(-1)") + n='((-1)" – 1). nƐN

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Q: 3n The two convergent subsequences of the sequence (-1)+2 is

A: xn=(-1)3n+2 x2n=(-1)3(2n)+2=(-1)6n+2x2n-1=((-1)3)2n-1+2=(-1)2n-1+2    as (-1)3=-1

Q: Find the 81st term in the series defined by Sn= (n-3)²+ (n-5)²+ (n-7)² +(n-9)² +..

A: For this series, 1st term = (n-3)2 2nd term = (n-5)2 So like this nth term = [n-(2p+1)]2 So from…

Q: The series

A: We can use ratio test to find the convergence or divergence of the series

Q: how that the sequence (1 – (-1)" +1/n) is divergen

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Q: The two convergent subsequences of the sequence (-1)™+2 is a) x, = (-1)" +2 and x, = +2 %3D 2n+1 6n…

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Q: Solve the recurrence defined by a for n ≥ 1. an 3(6^n)-2 3 and : 6an-1 + 5 an =

A: As per the guidelines I am answering only one question at a time. an=6an-1+5, a0=3

Q: For each of these generating functions, provide a closed formula for the sequence it determines. a)…

A: (Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: True or False: The generating function of the sequence h₁=n+1 is 1/(1-x)². O True False

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Q: (-1)*+a 2 4. Determine if converges. 2n - 5 (n +1)² + 5

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