Question

Intro to geometric sequences (help pls)

Answer 1

Option B

Explanation:

The formula for geometric sequence is given by:

`a_(n) = a_(1)r^(n-1)`

Where,

`a_(n)` = nth term of sequence

`a_(1)` = 1st term of the sequence

`r` = common ratio (ration of the second term to the first term)

So,

Here:

`a_(1)` = 12

`r` = 6/12 = 1/2

Plugging in the values of
`a_(1)` and r in the above formula:

=>
`a_(n) = 12 * ((1)/(2)) ^ {n-1}`