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2 years ago

13

Jeep TrackPerimeter:15 ft40ft55 ft17 ft10 ft8 ft102 t

1 answer:

krek1111 [17]2 years ago

7 0

Answer:

14

Step-by-step explanation:

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PLZ HELP THIS IS TIMED!!!!

mihalych1998 [28]

Answer:

For the sequence is $-\frac{2}{3}$ ,-4 ,-24 ,-144 ,...

Hence the formula $f(x)=-\frac{2}{3}(6)^{x-1}$ for x=1,2,3,... represents the given geometric sequence

Step-by-step explanation:

Given sequence is $-\frac{2}{3}$ ,-4 ,-24 ,-144 ,...

To find the formula to describe the given sequence :

Let $a_1=\frac{-2}{3}$ , $a_2=-4$ , $a_3=-24$ ,...

First find the common ratio

$r=\frac{a_2}{a_1}$ here $a_1=\frac{-2}{3}$ and, $a_2=-4$

$=\frac{-4}{\frac{-2}{3}}$

$=\frac{4\times 3}{2}$

$=\frac{12}{2}$

$r=6$

$r=\frac{a_3}{a_2}$ here $a_2=-4$ and $a_3=-24$

$=\frac{-24}{-4}$

$=6$

$r=6$

Therefore the common ratio is 6

Therefore the given sequence is geometric sequence

The nth term of the geometric sequence is

$a_n=a_1r^{n-1}$

The formula which describes the given geometric sequence is

$f(x)=a_1r^{x-1}$ for x=1,2,3,...

$=\frac{-2}{3}6^{x-1}$ for x=1,2,3,...

Now verify that $f(x)=a_1r^{x-1}$ for x=1,2,3,... represents the given geometric sequence or not

put x=1 and the value of $a_1$ in $f(x)=a_1r^{x-1}$ for x=1,2,3,...

we get $f(1)=-\frac{2}{3}(6)^{1-1}$

$=-\frac{2}{3}(6)^0$

$=-\frac{2}{3}$

Therefore $f(1)=-\frac{2}{3}$

put x=2 we get $f(2)=-\frac{2}{3}(6)^{2-1}$

$=-\frac{2}{3}(6)^1$

$=-\frac{12}{3}$

Therefore $f(2)=-4$

put x=3 we get $f(3)=-\frac{2}{3}(6)^{3-1}$

$=-\frac{2}{3}(6)^2$

$=-\frac{2(36)}{3}$

Therefore $f(3)=-24$

Therefore the sequence is f(1),f(2),f(3),...

Therefore the sequence is $-\frac{2}{3}$ ,-4 ,-24 ,-144 ,...

Hence the formula $f(x)=a_1r^{x-1}$ for x=1,2,3,... represents the given geometric sequence is verified

Therefore the formula $f(x)=-\frac{2}{3}(6)^{x-1}$ for x=1,2,3,... represents the given geometric sequence

7 0

3 years ago

Read 2 more answers

What is the answer and formula for 7f+5=68

gladu [14]

7f=68-5
7f=63
f=63/7
f=9

4 0

2 years ago

A town has a population of 2000 and grows at 4.5% each year. What will the population be after 13 years, to the nearest whole nu

77julia77 [94]

Answer:

<u><em>3544.392</em></u>

Step-by-step explanation:

The value of the total number of population is P=2000The value of the rate of interest isR%=4.5%The value of the time is T=13yrs

For compounded annually

n=1

The expression for the final value of the population after

13years is,A=2000(1+4.5100)13=3544.392

if you can give me brainliest that would be great

4 0

2 years ago

What is <br>the answer.

lesantik [10]

Positive 28 because to negative will equal a positive number

7 0

2 years ago

Read 2 more answers

Identify a solution to this system of equations -4x+3y=23, x-y=-7

Komok [63]

bearing in mind that a solution to a system of equations is where their graph intersect or meets, Check the picture below.

6 0

3 years ago