anonymous
  • anonymous
An Infinite Geometric sequence Such : \[S \infty =81/2 , Sn/Tn=(3^n-1)/2\] ,Find The G.s ???
Mathematics
chestercat
  • chestercat
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experimentX
  • experimentX
Sinf??
anonymous
  • anonymous
Sum to infinity :D Its rule is S∞ =a/1-r .
experimentX
  • experimentX
you should have written more explicitly

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anonymous
  • anonymous
what do u mean ?
experimentX
  • experimentX
sum up to infinity
anonymous
  • anonymous
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 ).
anonymous
  • anonymous
lol ,thats all what I know xD
anonymous
  • anonymous
I think its we can apply the rule only ..
experimentX
  • experimentX
put n=2 ...
experimentX
  • experimentX
1/r + 1 = 8
experimentX
  • experimentX
find the value of a from the left relation
anonymous
  • anonymous
u mean 1-r ,but why u put a =1 ?
experimentX
  • experimentX
Oh ... sorry ... forgot to divide by 2
experimentX
  • experimentX
ignore that post ... i wasn't thinking
anonymous
  • anonymous
nvm :)
anonymous
  • anonymous
sry for asking many questions :/
experimentX
  • experimentX
\[ \frac{S_2}{T_2} = 4 = \frac{a +ar}{ar}\] find the value of r from here get the value of a from other relation
anonymous
  • anonymous
aha...
anonymous
  • anonymous
@satellite73 : can u help :)
anonymous
  • anonymous
@experimentX :from where u got that 4 in Sn/Tn=4=... ?
experimentX
  • experimentX
from your second relation ... put n=2
anonymous
  • anonymous
oh, OK
experimentX
  • experimentX
you will get the value of r from here use your first relation to get the second value
experimentX
  • experimentX
*get the value of a
anonymous
  • anonymous
oh ,k........TY ^.^_^.^

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