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 .....

Question

anonymous · Answer

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 · Answer

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 · Answer

ok, that works

anonymous · Answer

ok, so this is what I got|dw:1337900631418:dw|