Mathematics
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OpenStudy (howard-wolowitz):
converge or diverge
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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:
\[{a_n} = -3 + n\]
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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.
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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.
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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.
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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.