Answer:
The formula to find the nth term of the given sequence is 54 · ![\frac{2}{3} ^{n}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20%5E%7Bn%7D)
Step-by-step explanation:
The formula for nth term of an geometric progression is :
![a_{n} = \frac{a_{1}(r^{n})}{r}](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%20%5Cfrac%7Ba_%7B1%7D%28r%5E%7Bn%7D%29%7D%7Br%7D)
In this example, we have
= 36 (the first term in the sequence) and
r =
(the rate in which the sequence is changing).
Knowing what the values for r and
are, now we can solve.
=
= 54 · ![\frac{2}{3} ^{n}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20%5E%7Bn%7D)
Therefore, the formula to find the nth term of the given sequence is
54 · ![\frac{2}{3} ^{n}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20%5E%7Bn%7D)
Answer:
if i labeled the triangle correctly BC= sqrt 97, ZX=32sqrt 2
Step-by-step explanation:
join my stream and tell me how to label the triangle
(ChildOfHermes)
Answer:
using Pythagoras rule, 16^2 -7^2 =a^2
so 256-49 = 297.
√207 =14.38 to the nearest tenth of an inch is 14inch.which is your answer
Answer:
![x=12](https://tex.z-dn.net/?f=x%3D12)
Step-by-step explanation:
By definition, supplementary angles add up to 180 degrees. Therefore, we can set up the follow equation to solve for
:
![10x+60=180,\\10x=120,\\x=\boxed{12}](https://tex.z-dn.net/?f=10x%2B60%3D180%2C%5C%5C10x%3D120%2C%5C%5Cx%3D%5Cboxed%7B12%7D)
In the simplest form it looks like this:
<span><span>
−8</span>j</span>+<span>5
Hope this helped</span>