Let an 4n 7n + 1 (a) Determine whether {a} is convergent. convergent divergent = 8 (b) Determine whether > n = 1 convergent divergent n is convergent.

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A: The objective of this question is to prove that if the series of x_n and y_n are convergent, then…

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A: Here, an=4n2+3n-2n, n≥1     =4n2+3n-2n4n2+3n+2n4n2+3n+2n     =4n2+3n-4n24n2+3n+2n     =3n4n2+3n+2n

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A: Given series is

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A: Alternating series test

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A: I have given the answer in the next step. Hope you understand that

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A: Given sequence {2n+13-n}={un} (say)

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A: Given

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A: We prove the the given problem.

Q: Let an 6n 2n + 1 (a) Determine whether {a} is convergent. O convergent divergent = (b) Determine…

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A: is monotone decreasing and bounded sequence.We have to prove that  is convergent.

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