1.2, 3, 7.5, 18.75, which formula can be used to describe the sequence? a. f(x) = 1.2(2.5)^x – 1 b. f(x) = 2.5(1.2)^x – 1 c. f(x) = 1.2(2.5)^x d. f(x) = 1.2(2.5)^x

The formula that could be used for showing the sequence is option A.

The sequence should be geometric which means the first term 1.2 and the common ratio is = 2.5.

Now The explicit formula should be

Now

Here a[1] = 1.2

and r = 2.5,

So, the formula is

Learn more about the sequence here: link

  a.  F(x) = 1.2(2.5)^(x – 1)

Step-by-step explanation:

The sequence is geometric with first term 1.2 and common ratio 3/1.2 = 2.5. The explicit formula for such a sequence is ...

  a[n] = a[1]·r^(n-1)

For a[1] = 1.2 and r = 2.5, and using x as the term number, the formula is ...

  F(x) = 1.2·2.5^(x-1) . . . . . matches selection A