Given: an = [6 n/(-4 n + 9)]for both of the following answer blanks, decide whether the given sequence or series is convergent or divergent. if convergent, enter the limit (for a sequence) or the sum (for a series). if divergent, enter inf if it diverges to infinity, minf if it diverges to minus infinity, or div otherwise.(a) the sequence {an }) the series ∑n=1∞( an : in order to get credit for this problem all answers must be correct. show all steps. i must be makeing asilly mistake.

The sequence is convergent and the serie is divergent.

Step-by-step explanation:

Sequence:

We calculate the limit when n tends to infinity to see if it is convergent or divergent:

then, the sequence is convergent.

Serie:

. To know if it converges we are going to use the limit test:

. If this limit is non equal to 0 the serie diverges.

, then the serie diverges.

if im undersanding the question correctly, its organized from 10

step-by-step explanation:

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step-by-step explanation: