Write the first 6 terms of the sequences whose `n^(th)` terms are given below and classify them as arithmetic progression, geometric progression, arithmetico-geometric progression, harmonic progression and none of them.
`4(1/2)^(n)`

Answer

(i) `a=(1)/(2^(2)` and `r=(1)/(2)`.
(ii) `(14)/(9)`
(iii) `a=2` and `r=(1)/(2)`.
(iv) `=(1)/(6)`
(v) `=(15)/(22)`
(vi) `(16)/(243)`