Eyad
An Infinite Geometric sequence Such :
\[S \infty =81/2 , Sn/Tn=(3^n-1)/2\]
,Find The G.s ???
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experimentX
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Sinf??
Eyad
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Sum to infinity :D
Its rule is
S∞ =a/1-r .
experimentX
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you should have written more explicitly
Eyad
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what do u mean ?
experimentX
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sum up to infinity
Eyad
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An infinite geometric series is an infinite series whose successive terms have a common ratio. Such a series converges if and only if the absolute value of the common ratio is less than one ( | r | < 1 ).
Eyad
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lol ,thats all what I know xD
Eyad
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I think its we can apply the rule only ..
experimentX
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put n=2 ...
experimentX
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1/r + 1 = 8
experimentX
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find the value of a from the left relation
Eyad
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u mean 1-r ,but why u put a =1 ?
experimentX
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Oh ... sorry ... forgot to divide by 2
experimentX
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ignore that post ... i wasn't thinking
Eyad
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nvm :)
Eyad
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sry for asking many questions :/
experimentX
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\[ \frac{S_2}{T_2} = 4 = \frac{a +ar}{ar}\]
find the value of r from here
get the value of a from other relation
Eyad
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aha...
Eyad
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@satellite73 : can u help :)
Eyad
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@experimentX :from where u got that 4 in Sn/Tn=4=... ?
experimentX
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from your second relation ... put n=2
Eyad
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oh, OK
experimentX
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you will get the value of r from here
use your first relation to get the second value
experimentX
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*get the value of a
Eyad
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oh ,k........TY ^.^_^.^