All categories

2 years ago

Which recursive formula can be used to represent the sequence 2,6,10,14,18...?

Mathematics

1 answer:

12345 [234]2 years ago

8 0

Answer:

a(1) = 2

a(n) = a(n-1)+4

Step-by-step explanation:

Using the given arithmetic sequence,

a1 is 2

a2 is 6

a3 is 10

a4 is 14

a5 is 18

and to get from a1 to a2 you have to +4, to get from a2 to a3 you have to +4 and so on.

In a reclusive formula you need to find two pieces of information:

1. The first term of the sequence

2. The pattern rule to get any term from the term that comes before it

Using the given sequence, the first term is 2 and the rule to get any term from its previous term is +4.

So, putting that information in the form of a recursive formula will read as the following:

an+1 = an+4

a1 = 2, n is greater or equal to 1 (n is an interger)

Which can be rearranged to

a(1) = 2

a(n) = a(n-1)+4

You might be interested in

find the probability exactly 3 successes in 6 trials of a binomial experiment in which the probability of success if 50%. round

Dennis_Churaev [7]

Answer:

Hence, the probability of exactly 3 successes in 6 trials of a binomial experiment round to the nearest tenth of a percent is:

31.2%

Step-by-step explanation:

The probability of getting exactly k successes in n trials is given by the probability mass function:

$P(k;n,p)=P(X=k)={\binom {n}{k}}p^{k}(1-p)^{n-k}$

Where p denotes the probability of success.

We are given that the probability of success if 50%.

i.e. $p=\dfrac{1}{2}$

also form the question we have:

k=3 and n=6.

Hence the probability of exactly 3 successes in 6 trials is:

$P(3;6,\dfrac{1}{2})=P(X=3)={\binom {6}{3}}(\dfrac{1}{2})^{3}(1-\dfrac{1}{2})^{6-3}$

$P(3;6,\dfrac{1}{2})=P(X=3)={\binom {6}{3}}(\dfrac{1}{2})^{3}(\dfrac{1}{2})^{3}$

$P(3;6,\dfrac{1}{2})=P(X=3)={\binom {6}{3}}(\dfrac{1}{2})^{6$

$\binom {6}{3}=20$

Hence,

$P(3;6,\dfrac{1}{2})=P(X=3)=20\times (\dfrac{1}{2})^6=\dfrac{5}{16$

In percentage the probability will be:

$\dfrac{5}{16}\times 100=31.25\%=31.2\%$

8 0

4 years ago

A 95% confidence interval for a population mean is determined to be 100 to 120. if the confidence coefficient is reduced to 0.90

Lerok [7]

For 95% CI
x - 0.05s = 100
x + 0.05s = 120
Solve for x and s

The interval for u with 90% is
x - 0.10s
and
x + 0.10s
Substitute x and s

4 0

4 years ago

Enter the length of Side AC, to the nearest tenth. plzzz hellpppp its urgent

Alecsey [184]

Answer:

Step-by-step explanation:

90-57

right triangle is 90

3 0

3 years ago

Companies who design furniture for elementary school classrooms produce a variety of sizes for kids of different ages. Suppose t

Zinaida [17]

Answer:

The height interval is (37.3, 41.1)

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Which represents the inverse of the function f(x)=4x?

alexandr402 [8]

Answer:

f(x)=x/4 is an inverse of f(x)=4x

8 0

3 years ago