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Mathematics: Post your doubts here!

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now multiply the brackets.. do it and reply me... multiply carefully no mistakes should be done :)

to minimiz efforts, just multiply that way that u get coff of x and x squared (if u dont get this, then do multiplication normally like i mentioned above) and reply me.
Okay
 
Messages
1,826
Reaction score
21,481
Points
523
now multiply the brackets.. do it and reply me... multiply carefully no mistakes should be done :)

to minimiz efforts, just multiply that way that u get coff of x and x squared (if u dont get this, then do multiplication normally like i mentioned above) and reply me.
There's no n value
What r we going to multiply?
 
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b(i) well first thing is first u need to find the value of r
if a=1 then ar=1/3tan^2(theta) so r=1/3tan^2(theta)
if the GP is convergent then -1<r<1 so -1 < 1/3tan^2(theta) < 1
multiply both sides by 3 u get -3 < tan^2(theta) < 3
so tan^2(theta) > -3 or tan^2(theta) < 3
ignore tan^2(theta) > -3 and u are left with tan^2(theta)<3
so tan(theta) < sqrt(3) or tan(theta) < -sqrt(3)
so 0<theta<pi/3
(ii) sum to infinity(S) = a/(1-r)
so S=1/(1-1/3tan^2(pi/6)) = 9+sqrt(3)/8
 
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