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dimulka [17.4K]
3 years ago
7

What is the next term in the series -27,-18,-12,-8,...?

Mathematics
2 answers:
kherson [118]3 years ago
7 0
The next term in the series is 5 1/3.



The geometric ratio is 2/3. To find r you when to divide f(2) by f(1) and then you get 2/3. Then you use a formula called the explicit rule which is f(n)=f(1) • r^n-1.

Plug in the numbers. f(5)=-27•(2/3)^4

Then you get 5 1/3.
vlada-n [284]3 years ago
3 0

Answer:

We have - 18 / - 27 = 2 / 3;

- 12 / - 18 = 2 / 3;

-8 / - 12 = 2 / 3;

Then, x / - 8 = 2 / 3 ;

Finally, x = - 16 / 3;

The next terms in that series is - 16 / 3 .

Step-by-step explanation:


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\boxed{The\:eighth\:number\:in\:the\:pattern\:is\:67.}

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

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