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Mathematics 7 Online
OpenStudy (anonymous):

Sequence questions !

OpenStudy (anonymous):

sequence an= 5n + 1/n

OpenStudy (anonymous):

1) Is it increasing, decreasing, or neither

OpenStudy (anonymous):

( the sequence)

OpenStudy (anonymous):

2) Is the sequence bounded or not bounded?

OpenStudy (anonymous):

\[\huge a_n=5n+\frac{1}{n}\]?

OpenStudy (anonymous):

yessir

OpenStudy (anonymous):

Increasing for the first

OpenStudy (anonymous):

or \[\huge a_n=\frac{5n+1}{n}\]?

OpenStudy (anonymous):

the first equation, sorry for the confusion

OpenStudy (misty1212):

HI!!

OpenStudy (anonymous):

hello :D

OpenStudy (misty1212):

it is definitely increasing right?

OpenStudy (misty1212):

\(5n\) gets bigger and bigger for sure

OpenStudy (anonymous):

yes madam

OpenStudy (misty1212):

and although \(\frac{1}{n}\to 0\) the whole thing gets larger and larger

OpenStudy (anonymous):

So it would be unbounded

OpenStudy (misty1212):

you need a proof besides the fact that it is obvious?

OpenStudy (misty1212):

oh yes, definitely unbounded

OpenStudy (anonymous):

increasing and unbounded. sounds good to me. No I do not ned a proof

OpenStudy (misty1212):

as \(n\to \infty\) you have \(5n\to \infty\)

OpenStudy (anonymous):

definitely :D Could you help me on a similar problem?

OpenStudy (misty1212):

sure

OpenStudy (anonymous):

I think I got the right answers but I want to double check

OpenStudy (anonymous):

Same questions but with an= cosn

OpenStudy (misty1212):

if i can i will help

OpenStudy (anonymous):

1) neither increase or decrease 2) it is bounded

OpenStudy (misty1212):

yes

OpenStudy (anonymous):

sounds great thank you :)

OpenStudy (misty1212):

\[\color\magenta\heartsuit\]

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