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Mathematics 24 Online
OpenStudy (howard-wolowitz):

converge or diverge

OpenStudy (howard-wolowitz):

OpenStudy (michele_laino):

please note that if n is an even number then: \[{a_n} = - 3 + n\] whereas if n is an odd number, then: \[{a_n} = 3 + n\]

OpenStudy (howard-wolowitz):

The sequence does not converge. The sequence converges to zero.

OpenStudy (howard-wolowitz):

The sequence converges to n-3 . The sequence converges to n.

OpenStudy (michele_laino):

oops.. is if n is an even number then: \[{a_n} = 3 + n\] whereas if n is an odd number then: \[{a_n} = -3 + n\]

OpenStudy (howard-wolowitz):

If the sequence does converge, what number do the terms of the sequence converge to?

OpenStudy (michele_laino):

it is a defined real number

OpenStudy (howard-wolowitz):

so D

OpenStudy (michele_laino):

what is D?

OpenStudy (howard-wolowitz):

The sequence does not converge. The sequence converges to zero.

OpenStudy (howard-wolowitz):

The sequence converges to n-3 . The sequence converges to n.

OpenStudy (michele_laino):

what are the liits of a_n in both cases, namely n een and n odd?

OpenStudy (michele_laino):

oops..the limits

OpenStudy (howard-wolowitz):

dude

OpenStudy (howard-wolowitz):

A. The sequence does not converge.

OpenStudy (michele_laino):

yes!

OpenStudy (howard-wolowitz):

B. The sequence converges to zero.

OpenStudy (howard-wolowitz):

C. The sequence converges to n-3 .

OpenStudy (michele_laino):

no, or a sequence doesn't converge or a sequence does converge

OpenStudy (howard-wolowitz):

D. The sequence converges to n.

OpenStudy (michele_laino):

I think it is the option A, since : lim a_n = +infinity in both cases

OpenStudy (howard-wolowitz):

ok

OpenStudy (howard-wolowitz):

converge or diverge? If the sequence does converge, what number do the terms of the sequence converge to?

OpenStudy (howard-wolowitz):

The sequence does not converge. The sequence converges to 100. The sequence converges to -100. The sequence converges to zero.

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