Which equation would generate the arithmetic sequence: -8.-3.2.7.12. A 5-8(n-1)

B = -8+5(n-1)

C None of the other answers are correc

D = -8-5(1-1) a = 5+8(n-1)

B

Step-by-step explanation:

The equation for an arithmetic sequence is:

aₙ = a₁ + d(n - 1)

This matches answer B, so lets test it.

Substitue the position values for n

Given: Position 1 = -8

Solve Position 2:

a₂ = -8 + 5(2 - 1) = -3

a₃ = -8 + 5(3 - 1) = 2

a₄ = -8 + 5(4 - 1) = 7

a₅ = -8 + 5(5 - 1) = 12

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0