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Mathematics 21 Online
OpenStudy (shamim):

find the sum to n term 1/(1*4)+1/(4*7)+1/(7*10)+..........

OpenStudy (shubhamsrg):

Can you figure out the nth term ?

OpenStudy (shamim):

1/(n(n+3))

OpenStudy (anonymous):

1/(3n+1)(3n+4) and n start from zero

OpenStudy (shubhamsrg):

nop, that'll only give you the first term of the sequence. Note that there are two separate sequences 1,4,7,10.. and 4,7,10,13.. you should find nth terms in both.

OpenStudy (shamim):

sorry

OpenStudy (anonymous):

wow Indians are fr good at math..

OpenStudy (shamim):

plz tell me the n th term

OpenStudy (shubhamsrg):

Now you your nth term. 1/(3n+1)(3n+4) Will it be alright if I express the numerator as ( (4+3n)-(1+3n) )/3 ? Please observe this expression carefully.

OpenStudy (shubhamsrg):

@BSwan already did :|

OpenStudy (anonymous):

sorry coue im rushing :) i let u do the jop ;)

OpenStudy (shamim):

sorry u can write numerator as ur second expression

OpenStudy (shubhamsrg):

See my main aim is to break 1/(3n+1)(3n+4) into partial fractions. For that purpose, I noticed the difference between the 2 factors in the denominator. (4+3n) - (3n+1) = 3 We get a constant, which is good. So far so good ?

OpenStudy (shamim):

1/(3*(3n+1))-1/(3*(3n+4))

OpenStudy (shamim):

then?

OpenStudy (shamim):

@shubhamsrg

OpenStudy (shamim):

helloo @shubhamsrg

OpenStudy (shamim):

i m in the middle of my math @shubhamsrg

OpenStudy (shubhamsrg):

I am sorry, had to go. Are you there?

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