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labwork [276]
3 years ago
12

What is the recursive rule for the sequence? 3, −1, 1/3, −1/9, ...

Mathematics
2 answers:
Hunter-Best [27]3 years ago
7 0

Answer:

Step-by-step explanation:

(-1/9) /(1/3) = (1/3)/(-1) = -1/3....the common ratio of geometric  sequence  

the recursive rule is :

the nth term is :  An =A1 × r^(n-1)

r : the common ratio  

A1 ; the first term

r  = -1/3  and A1 =  3

An =3 ×(-1/3)^(n-1)

laila [671]3 years ago
6 0

\displaystyle a_1=-3\\r=-\dfrac{1}{3}\\a_n=a_{n-1}\cdot \left(-\dfrac{1}{3}\right)=-\dfrac{1}{3}a_{n-1}\\\\\\{\begin{cases}a_1=-3\\a_n=-\dfrac{1}{3}a_{n-1}\end{cases}}

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23. Kelvin travelled of his journey at 45 km/h and of the remaining journey at 90 km/h. The rest of his journey was completed in
Sonja [21]

Answer:

4.6 hours

Step-by-step explanation:

we first need to calculate the total distance he covered and total time taken whole for the journey.

Distance= speed X time

time = Distance/speed

let the total distance be X. he covers 2/5 if the journey first.

2/5 = 0.4

Time = 0.4x/45 hours

the remaining journey is 3/5x

he covers 1/3 X 3/5= 0.2x

time taken = 0.2/90 X hours

the remaining distance = 100× 1.2 = 120km

we add 0.4x + 0.2x to get the fraction he had covered

0.6x.

the remaining distance was X - 0.6x = 0.4 X

thus 120 km represents 0.4x of the journey

we calculate now the value of X

0.4x = 120

X = 300km

Total time taken = 0.4x/45 + 0.2/90 + 1.2 hours

replace X to get time

2.7 hours + 0.7 hours + 1.2 hours

= 4.6 hours

3 0
1 year ago
I need to find the distance between these two points:
FromTheMoon [43]
I hope this helps you

8 0
3 years ago
Helpppppppp plzzzzzzzzzzzz!
agasfer [191]
180- 124= 56

So 56 degrees
4 0
3 years ago
Read 2 more answers
If a female is 5ft even has 8 oz of 80 proof liquor over hours, will it be out of her system and blood a 000 on a breathalyzer 1
den301095 [7]

Answer:No

Step-by-step explanation:

No

4 0
3 years ago
A high school choir had a car wash to raise money, the number of trucks washed was 5 fewer than twice the number of cars washed.
Aneli [31]

Answer:

Step-by-step explanation:

ok so, we know they washed 34.

x-5=Trucks washed [19.5-5=(14.5)]

x=cars washed (19.5)

x+x-5=34

2x-5=34

+5   +5

2x=39

divide 2 both sides

x=19.5

To check work: 19.5+14.5=34!

Hope this helps :)

7 0
3 years ago
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