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

n a study to investigate whether vitamin C will prevent colds, 400 subjects are assigned at random to one of two groups. The exp

Dvinal [7]

Answer:

Step-by-step explanation:

The aim of this question is to see if we can infer and conclude that vitamin C has a good impact in preventing colds based on the evidence provided.

Null hypothesis: Vitamin C has no effect on preventing colds.

Alternative hypothesis: Vitamin C has a strong effect on preventing colds.

Assuming, significance level = 0.05

Since the p-value for the difference is 0.03 which is less than 0.05.

Hence, the null hypothesis is rejected (which is there is no effect of vitamin C).

As a result, it can be concluded that Vitamin C has a major impact on the prevention of colds.

8 0

2 years ago

What is the solution to x – 10 > – 12? (–∞, –18) (–18, ∞) (–∞, 18) (18, ∞)

Allisa [31]

Answer:

(18, ∞)

Step-by-step explanation:

(18, ∞) is the only option that works. if we ignore the "greater than" sign, and just set the function equal to -12, we see that x-10=-12 would give us x=-2. If we plug in -3 for x, we get -13, which is less than -12. if we plug in -1 for x, we get -11, which is greater than -12. Therefore, with the function only having one critical point (zero), we know that every value greater than -2 is a solution. Technically, the full solution would be (-2, ∞). however, the only answer available meeting the criteria would be (18, ∞).

8 0

3 years ago

Read 2 more answers

dolphi86 [110]

You need to apply "Proportionality theorem" here:
LM / AB = LN / AC
35 / 5 = LN / 7
LN = 7 * 7
LN = 49

In short, Your Answer would be 49 cm

Hope this helps!

4 0

2 years ago

Read 2 more answers

What is the y-intercept of the function f(x) = -3x Ο Ο on who wire on Ο Ο

morpeh [17]

Answer:

see the explanation

Step-by-step explanation:

we know that

The y-intercept is the value of the function when the value of x is equal to zero. Also is called the initial value of the function

I will analyze two cases

Part 1) we have