What is the 19th term of a geometric sequence where a1=8 and a9=360. round the common ratio and 19th term to the nearest hundredth.

really need on this one .

Step-by-step explanation:

By the formula of a geometric series:

r = 1.6

a19 = 37800

Step-by-step explanation:

First term and of a geometric sequence and we are to find the 19th term along with the common ratio for this sequence.

We know that the general term of a Geometric Sequence is given by:

where is the nth term, is the first term, is the number of terms and is the common ratio.

Substituting the given values in the above formula to get:

r = 1.6

Finding the 19th term:

a19 = 37800

:

step-by-step explanation:

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).