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 .....

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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
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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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\[n _{1} = 4(n _{3} + n _{2})\]
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 ?
ok, that works

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ok, so this is what I got|dw:1337900631418:dw|
|dw:1337900769253:dw|
Can you follow what I did, or is my writing a little to hard to read?
no , i can follow :)
But how come the first term be fraction ,I think something is going wrong :/
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.
Oh,sry i read it wrong ,ty :)
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.
Ty

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