A sequence is defined by the recursive function f(n + 1) = -
10f(n)
If f(1) = 1, what is f(3)?
O 3
O -30
100
-1,000

100

Step-by-step explanation:

f(n+1)=-10 f(n)

f(1)=1

put n=1

f(2)=-10f(1)=-10×1=-10

put n=2

f(3)=-10f(2)=-10×-10=100

the answer is (2x+8)²= 16

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).