Answer: ![ar^{n-1}=54(\dfrac{1}{3})^{n-1}](https://tex.z-dn.net/?f=ar%5E%7Bn-1%7D%3D54%28%5Cdfrac%7B1%7D%7B3%7D%29%5E%7Bn-1%7D)
Step-by-step explanation:
The nth term for a geometric sequence is given by :-
(1)
We are given that The first term in a geometric sequence is 54. i.e. a=54
5th term=
(2)
Put n=5 and a= 54 in (1), we get
(3)
From (2) and (3), we have
![\Rightarrow(54)r^{4}=\dfrac{2}{3}\\\\\Rightarrow r^4=\dfrac{2}{3}\times\dfrac{1}{54}=\dfrac{1}{3\times27}=\dfrac{1}{81}\\\\\Rightarrow\ r=(\dfrac{1}{81})^{\frac{1}{4}}=\dfrac{1}{3}](https://tex.z-dn.net/?f=%5CRightarrow%2854%29r%5E%7B4%7D%3D%5Cdfrac%7B2%7D%7B3%7D%5C%5C%5C%5C%5CRightarrow%20r%5E4%3D%5Cdfrac%7B2%7D%7B3%7D%5Ctimes%5Cdfrac%7B1%7D%7B54%7D%3D%5Cdfrac%7B1%7D%7B3%5Ctimes27%7D%3D%5Cdfrac%7B1%7D%7B81%7D%5C%5C%5C%5C%5CRightarrow%5C%20r%3D%28%5Cdfrac%7B1%7D%7B81%7D%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%3D%5Cdfrac%7B1%7D%7B3%7D)
Explicit form for the geometric sequence: ![ar^{n-1}=54(\dfrac{1}{3})^{n-1}](https://tex.z-dn.net/?f=ar%5E%7Bn-1%7D%3D54%28%5Cdfrac%7B1%7D%7B3%7D%29%5E%7Bn-1%7D)
I think you have to times your number you got by 2
Answer:
x=4.724
Step-by-step explanation:
5x-20=3.62
5x-20+20=3.62+20
5x=23.62
{Simplify}x=4.724
Answer:
B C D
Step-by-step explanation:
B is the question
C and D represent the information
A is not one of them because the entire school has nothing to do with the math club or the amount of vans the math club is taking
Answer:
x-y=-3
Step-by-step explanation: