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.

h df tyjgtyj ttd y ytkgfty ty

step-by-step explanation:

tyty jry j y yj yttj yhgtyj y ghyj ytthj

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.