anonymous
  • anonymous
Geometric sequence of positive terms in which its first term equal 4 times its third term and the sum of its second term ,fifth term is 36 ..Find The G.s .....
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
so, if the terms are labled \[n _{1}\] for the first term \[n _{_{2}}\] for the second, and so on. Does \[n _{1} = 4n _{3} + n _{2}\] or\[n _{1} = 4(n _{3} + n _{2})\]
anonymous
  • anonymous
can't we say a=first term where a=4T3 ,a=4(ar^2)----->(1) T2+T5=36 ,ar+ar^4=36 , ar(1+r^3)=36------->(2) and deal with these two equations ?
anonymous
  • anonymous
ok, that works

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anonymous
  • anonymous
ok, so this is what I got|dw:1337900631418:dw|
anonymous
  • anonymous
|dw:1337900769253:dw|
anonymous
  • anonymous
Can you follow what I did, or is my writing a little to hard to read?
anonymous
  • anonymous
no , i can follow :)
anonymous
  • anonymous
But how come the first term be fraction ,I think something is going wrong :/
anonymous
  • anonymous
The first term isn't a fraction. The first term is "a" which is 64. "r" is the number we're multiplying each term by to get the next.
anonymous
  • anonymous
Oh,sry i read it wrong ,ty :)
anonymous
  • anonymous
So first term is 64, second is 32, third is 16, fourth is 8, fifth is 4 ..... 4 * 16 = 64 (first term equal to 4 times third term) and 32 + 4 = 36 (second term plus fifth term equals 36). It fits both of the original equations.
anonymous
  • anonymous
Ty

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