Mathematics
12 Online
OpenStudy (sebaxtiangb):
ask any question i can help with anything
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OpenStudy (karim728):
question 1.. proof 0 is an even number
Nnesha (nnesha):
nice !! thanks!! \[\huge\rm \sum_{k=1}^{\infty} \frac{ 10 }{ (5k-1)(5k+4) }\]
series converges or diverges ?
Nnesha (nnesha):
haha karim :D
OpenStudy (sebaxtiangb):
ok so thats algebra 2
let me think i took that 2 years ago
OpenStudy (sebaxtiangb):
replace k with one
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Nnesha (nnesha):
\[\sum_{k=1}^{\infty} \frac{ 10 }{ (4)(9) }\] ?
OpenStudy (sebaxtiangb):
ok
i just saw the question jaja
it was at the bottom
OpenStudy (sebaxtiangb):
multiply 4 times 9 which is 36
Nnesha (nnesha):
ok 10/36 = 5/18 ? :D
OpenStudy (sebaxtiangb):
the question says if the equation is diverges or converges
remember that diverges is when >=1
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OpenStudy (sebaxtiangb):
and converges is when the reminder is for example Rn=S-Sn
OpenStudy (sebaxtiangb):
so you use that info to help you out
OpenStudy (agent0smith):
\[\large \rm \sum_{k=1}^{\infty} \frac{ 10 }{ (5k-1)(5k+4) }\]Looks convergent because it's similar to a sum of the form \(\large \frac{ 1 }{k^2 }\)
OpenStudy (sebaxtiangb):
yea
OpenStudy (sebaxtiangb):
anyone else with question?
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OpenStudy (karim728):
u didnt prove mine
OpenStudy (karim728):
:D
OpenStudy (sebaxtiangb):
jajajjaja
i mean like 0 is not a number is an idea of something that doesn't exist
OpenStudy (karim728):
lol
OpenStudy (karim728):
wrong answer lol
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Nnesha (nnesha):
so use p-series test ??
but the given series does not have the form of p-series
OpenStudy (sebaxtiangb):
is sometimes referred to as a number but the real answer is that is not a number
OpenStudy (karim728):
try plugging a couple numbers u will see
OpenStudy (sebaxtiangb):
i know it seems weird but its true
OpenStudy (sebaxtiangb):
you can look it up :)
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Nnesha (nnesha):
yeah it's a letter that's why we say 2599 `O`9353 lel
OpenStudy (karim728):
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