Write the explicit formula for the geometric sequence given the following: a4 = 12, r = 2

The explicit formula is  :

Step-by-step explanation:

Here, in the given GP sequence,

a(4)  = 12, r  = 2

Now, the general term in a  geometric sequence is given as:

Now, here substituting the value of n = 4 , we get:

So, here the first term (a) in the sequence = 1.5

So, the explicit formula is given as :

Hence, the explicit formula is  :

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

its an acute right triangle

step-by-step explanation: