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Mathematics 9 Online
OpenStudy (sebaxtiangb):

ask any question i can help with anything

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

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

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?

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

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 :)

Nnesha (nnesha):

yeah it's a letter that's why we say 2599 `O`9353 lel

OpenStudy (karim728):

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