Suppose that > an = Σ 5 and > bn - 3 and a1 = 7 and b1 = 8, find the sum of the series: n=1 n=1 E (3an + - 6bn) = А. n=1 В. (За, + 6b,) = n=2

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A: Use expansion of (1+x)^-n and find coefficient of x^6.

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Q: tion 1- ]: ): Determine whether the series 1 Σ (2n- 1)4 n=1 M8

A: According to guidelines we solve one question.

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A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

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A: Given,          f(x)=6x(x2+1)2,   x<1

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A: Here, Sn=3-n2-n

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A: given,          1+10x13

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A: The integral is ∫1+x3 dx. The series expansion of 1+xk is 1+xk=∑n=0∞knxn. Here, the function is…

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Q: n of a series with its own lagged values is called

A: The correlation of a series with its own lagged value is called as autocorrelation

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A: Here we have to use the ratio test for checking the convergence of series

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A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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A: We can solve this as follows:

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A: First make summation initial point same by shifting then merge the terms as in next step.

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