₦airaland Forum

the sequence are a,ar,ar^2,ar^3.....
square of the sequence a^2,a^2r^2,a^2r^4......
Cube of the sequence a^3,a^3r^3,a^3r^6.....
Sum to infinity=a/r-1
S=a/r-1----------(1)
2S=a^2/r^2-1----------(2)
(64/13)S=a^3/r^3-1------(3)
Frm equation 2.
2S=a^2/(r-1)(r+1)
2S=(a/r-1)(a/r+1)
a/r-1=S:-
2S=S(a/r+1)--------(4)
From equation 3
(64/13)S=a^3/r^3-1
(64/13)S=a^3/(r-1)(r^2+r+1)
(64/13)S=(a/(r-1))(a^2/r^2+r+1)
(64/13)S=S(a^2/r^2+r+1)------4
By solving these simultaneously
We will get S=4
And d first three term.
8/3,8/9,8/27