The ratio of the 6th to the 2nd term of geometric sequence is 256.If the 3rd term of this sequence is 32.Determine the first and the third term.

3 answers

(a+5d)/(a+d) = 256
a+2d = 32
Now solve for a

Not sure what you want when you say
the 3rd term ... is 32
Determine ... the 3rd term.
ar^5/ar = 256
r^4 = 256
r = ± 4

ar^2 = 32
16a = 32
a = 2

1st term = 2
3rd term = ar^2 = 2(16) = 32
Oops. Go with Reiny.