Question

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 .....

Answer 1

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\[n _{1} = 4(n _{3} + n _{2})\]

Answer 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 ?

Answer 3

ok, that works

Answer 4

ok, so this is what I got