The formula for any geometric sequence is a n = a 1 · r n - 1 , where a n represents the value of the nth term, a 1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the geometric sequence 4, 8, 16, 32, ...? an = 32 · 2n - 1
an = 2 · 4n - 1
an = 4 · (1/2)n - 1
an = 4 · 2n - 1

Step-by-step explanation:instead, try making the subscripts and superscripts stand out:

                         n-1

a    =  a         * r

 n         n-1

Believe me, it's worth the extra work to do this!!

Given the sequence   -3, -6, -12, -24, you can easily see that the first term,

a         is    -3.  The common factor is 2.  Note how (-3)*2=-6, and so on.

  1

So, a       = -3 and r=2.

        1

So the formula for this geometric sequence is  

                  n-1

a     =  -3*2

  n

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3

a

step-by-step explanation: