1) 6/14 divide by 2 = 3/7
2) 9/12 divide by 3 = 3/4
3) 15/25 divide by 5 = 3/5
x = the length of one piece
y = the length of the other piece
the total length is 100 cm this means
x + y = 100
one piece is 16 inches longer than the other
first we need to convert inches to cm:
1 in = 2.54 cm
16 in = 2.54*16 = 40.64
now we can write
x = y + 40.64
by solving the system of equations
x + y = 100
x = y + 40.64
we find
x = 70.32 cm
y = 29.68 cm
the lengths of the two pieces are 70.32 cm and 29.68 cm.

So y=2x is the only answer that fit y=kx, while k=2

=3
r=common ratio: 12/6=2; 6/3=2
r=2,

=

*3
plug in 12 for n:

=
*3

=

*3

=2048*3

=6144
The twelfth term in the sequence is 6144