What is a formula for the nth term of the given sequence? 250, 100, 40...​

The formula for the nth term of the sequence is

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient of consecutive terms is always the same, called common ratio.

The equation is given by:

In which is the first term and r is the common ratio.

250, 100, 40

First term is 250, so

Common ratio is

So

The formula for the nth term of the sequence is

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."

the answer is 24

step-by-step explanation: