"Study the convergence of the series whose first terms are as follows: 1/2 + 7/9 + 13/28 + 19/65 + 25/126 + ...

Question

Can you help me find the answer of this problem step by step so I can understand? Thank you!

Bobosharif S. · Accepted Answer

The general term for the series  1/2 + 7/9 + 13/28 + 19/65 + 25/126 + ...  is an=(6n-5)/(n^3+1). Now you have to use some "convergence signs" or test to investigate the convergence. Alternatively, you could find the partial sum and find its limit when n goes to infinity.

"Study the convergence of the series whose first terms are as follows: 1/2 + 7/9 + 13/28 + 19/65 + 25/126 + ...

1 Expert Answer

The general term for the series 1/2 + 7/9 + 13/28 + 19/65 + 25/126 + ... is a_n=(6n-5)/(n^3+1). Now you have to use some "convergence signs" or test to investigate the convergence. Alternatively, you could find the partial sum and find its limit when n goes to infinity.

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"Study the convergence of the series whose first terms are as follows: 1/2 + 7/9 + 13/28 + 19/65 + 25/126 + ...

1 Expert Answer

The general term for the series 1/2 + 7/9 + 13/28 + 19/65 + 25/126 + ... is an=(6n-5)/(n^3+1). Now you have to use some "convergence signs" or test to investigate the convergence. Alternatively, you could find the partial sum and find its limit when n goes to infinity.

Still looking for help? Get the right answer, fast.

OR

RELATED TOPICS

RELATED QUESTIONS

what are all the common multiples of 12 and 15

need to know how to do this problem

what are methods used to measure ingredients and their units of measure

how do you multiply money

spimlify 4x-(2-3x)-5

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The general term for the series 1/2 + 7/9 + 13/28 + 19/65 + 25/126 + ... is a_n=(6n-5)/(n^3+1). Now you have to use some "convergence signs" or test to investigate the convergence. Alternatively, you could find the partial sum and find its limit when n goes to infinity.