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Colt1911 [192]
3 years ago
10

Write an equation for the nth term of the geometric sequence 5,20,80,320...

Mathematics
1 answer:
bearhunter [10]3 years ago
7 0
5,20,80,320

Your input appears to be an geometric series.

Find the ratio (r) between adjacent members<span><span>a2/a1=20/5=4</span><span>a3/a2=80/20=4</span><span>a4/a3=320/80=4</span></span>

The ration (r) between every two adjacent members of the series is constant and equal to 4

<span>General Form: an=a1×rn-1</span><span>This geometric series: an=5×4<span>n-1</span></span>
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Answer:

(x - 3) and (x - 2)

Step-by-step explanation:

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                   x² - 5x + 6

                 -------------------------------

x + 4   |  x³ - x² - 14x + 24

             x³ + 4x²

             ---------------------------

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                   - 5x² - 20x

              -------------------------------

                               6x + 24

                               6x + 24

                --------------------------------

                              0        0

The quotient is x² - 5x +  6 = (x - 2)(x - 3)

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          |

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