81, 108, -144, 192,
which formula can be used to describe the sequence?
a. f(x)= -81 (4/3)^x-1
b. f(x)= -81 (-3/4)^x-1
c. f(x)= -81 (-4/3)^x-1
d. f(x)= -81 (3/4)^x-1

C

Step-by-step explanation:

The terms form a geometric sequence with common ratio r

r = = = ......

r = = = -

The n th term formula of a geometric sequence is

= a ← a is the first term

here a = - 81, hence

f(x) = - 81 → C

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."