Question

Is this a geometric sequence 8,4,2,1,1/2,1/4?

Answer 1

It is a geometric sequence.

Explanation:

In a geometric sequence the quotient of any two consecutive terms is always the same.

`T_3/T_2 = T_2/T_1 = T_n/T_(n-1)`

In `8, 4, 2, 1, 1/2, 1/4`

`2/4 = 1/2 " and " 4/8 = 1/2`

`1/2` is known as the common ratio and is denoted by `r`