Determine the common ratio and find the next three terms of the geometric sequence. 8, -20, 50, a. -2.5; -125, 312.5, -781.25 c. 2.5; -125, 312.5, -781.25 b. -2.5; -70, 240.6, -642.85 d. 2.5; -70, 240.6, -642.85

A)

Common ratio  : -2.5;

Next three terms : -125, 312.5, -781.25.

Step-by-step explanation:

Given  :  geometric sequence 8, -20, 50, ...

To find : Determine the common ratio and find the next three terms of the geometric .

Solution : We have given 8, -20, 50, ...

Common ratio  : = - 2.5 .

= - 2.5 .

Then the next term of geometric sequence is

50 * - 2. 5 =  - 125.

-125 * ( -2.5) =  312.5

312.5 * ( -2.5)  = -781.25.

Therefore, A)

Common ratio  : -2.5;

Next three terms : -125, 312.5, -781.25.

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step-by-step explanation: