Can someone me find the geometric sequence of

200, 100,40,

it’s really quite simple i just don’t understand this one for some reason. i will mark brainliest

Step-by-step explanation:

Step 1. Calculate the common ratio

a₁ = 200

a₂ = 100

a₃ =  40

a₄ =   16

The ratios of consecutive pairs are

a₄/a₃ =     16/40  = 0.4

a₃/a₂ =   40/100  = 0.4

a₂/a₁ = 100/200  = 0.5

I think you have made a typo in your question. The first term should be 250. Then,

a₂/a₁ = 100/250  = 0.4

And all adjacent pairs will have the same common ratio, r = 0.4.

Step 2. Write the formula for the series

The formula for the nth term of a geometric sequence is

aₙ = a₁rⁿ⁻¹

If a₁ = 250, the formula for the series is

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it