All categories

4 years ago

Use function notation to write a recursive formula to represent the sequence: 3, 6, 12,...

Mathematics

1 answer:

slega [8]4 years ago

4 0

Answer:

f(n)=f(n-1)×2

Step-by-step explanation:

The previous term is being multiplied by 2 to get a term.

First term is 3.

Second term is 3×2=6.

Third term is 6×2=12.

....

nth term is f(n-1)×2.

Note: f(n-1) is just the term before f(n).

f(n)=f(n-1)×2 with f(1)=3 is the recursive form for this sequence.

You might be interested in

How many square corners does a pentagon have

SIZIF [17.4K]

I assume that by square corners you mean 90 degree angles. if this is the case then there are 2 in a pentagon. Hope I helped :)

3 0

4 years ago

Help fast pls!

Ket [755]

Answer:

c 0.5⁻ˣ

Step-by-step explanation:

The slowest rate is:

0.5⁻ˣ

8 0

2 years ago

A recent study focused on the number of times men and women send a Twitter message in a day. The information is summarized below

jok3333 [9.3K]

Answer:

The value of the test statistic = 2.58

Test statistic Z = - 4.805

|Z| = 4.805 > 2.58

Null hypothesis is rejected The value of the test statistic = 2.58

There is significant difference between in the mean number of times men and women send a Twitter message in a day

Step-by-step explanation:

Step(i):-

Sample size of men n₁ = 25

mean of the first sample x₁⁻ = 20

Standard deviation of the first sample σ₁ = 5

Sample size of women n₂ = 30

mean of the second sample x₂⁻ = 30

Standard deviation of the first sample σ₂ = 10

Level of significance ∝= 0.01

<u>Step(ii)</u>:-

Null Hypothesis : H₀: There is no significant difference between in the mean number of times men and women send a Twitter message in a day

Alternative Hypothesis :H₁:There is significant difference between in the mean number of times men and women send a Twitter message in a day

Test statistic

$Z = \frac{x^{-} _{1} - x^{-} _{2} }{\sqrt{\frac{S.D_{1} ^{2} }{n_{1} }+\frac{ S.D_{2} ^{2}}{n_{2} } } }$

$Z = \frac{20 - 30 }{\sqrt{\frac{(5)^{2} }{25 }+\frac{ (10)^{2} }{ 30} } }$

Z = $\frac{-10}{2.081} = - 4.805$

The value of the test statistic = 2.58 C

|Z| = 4.805 > 2.58

Null hypothesis is rejected The value of the test statistic = 2.58

<u>Conclusion:</u>-

There is significant difference between in the mean number of times men and women send a Twitter message in a day

7 0

3 years ago

Exactly 2/5 of the university’s students live off campus. Of those students 3/10 of them live at home. What fraction of the univ

Dafna1 [17]

2/5 × 3/10
6/50
3/25
3/25 of the university's students live at home

8 0

3 years ago

Read 2 more answers

Bag contains 2 red marbles 2Green marbles and 4 blue marbles if we choose a marble than other marble without putting the first o

Murrr4er [49]

Answer:

The probability that the first marvel will be red and the second will be green is 7.14%.

Step-by-step explanation:

Since a bag contains 2 red marbles, 2 green marbles and 4 blue marbles, if we choose a marble and then other marble without putting the first one back in the bag, to determine what is the probability that the first marvel will be red and the second will be green, the following calculation must be performed:

2 + 2 + 4 = 8

2/8 x 2/7 = X

0.25 x 0.2857 = X

0.0714 = X

Therefore, the probability that the first marvel will be red and the second will be green is 7.14%.

6 0

3 years ago