Find the sum of the first seven terms of the geometric series 8, −24, 72, …
4,376
4,280
5,832
5,836

4376

Step-by-step explanation:

8, −24, 72, -216, 648, -1944, 5832

Multiply the next number by -3

8 x -3 = -24

-24 x -3 = 72

72 x -3 = -216

-216 x -3 = 648

648 x -3 = -1944

-1944 x -3 = 5832

adding all 7 numbers

8 + (−24)+72 + (-216)+648+ (-1944)+5832  = 4376

x is variable or an unknown value to find

example:

2x = 5 which means x = 3

(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