All categories

3 years ago

Use the function notation to write a recursive formula to represent the sequence: 4, 8, 12, ...

Mathematics

1 answer:

melamori03 [73]3 years ago

7 0

Answer:

The correct answer is f(n) = f(n − 1) + 4

Step-by-step explanation:

Let us consider the sequence: 4, 8, 12, …

Using f(n) = f(n − 1) + 4, we can easily get the sequence.

As the first term is 4 and next term is obtained by adding 4 to the first term.

i.e. 4+4 = 8

8+4 = 12

12+4 = 16 and so on.

Since the next term is obtained by adding 4 to the previous term.

So, f(n) = f(n-1) + 4 would be the correct recursive formula for the function of the sequence 4, 8, 12, ....

Verification:

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

Putting n=2 in f(n) = f(n-1) + 4 to get the second term of the sequence.

f(2) = f(2-1) + 4

f(2) = f(1) + 4

f(2) = 4 + 4

f(2) = 8

Putting n=3 in f(n) = f(n-1) + 4 to get the third term of the sequence.

f(3) = f(3-1) + 4

f(3) = f(2) + 4

So, adding 4 in f(2)=8 would give us the next term i.e. 12

f(3) = 8 + 4

f(3) = 12

Keywords: recursive formula, sequence

Learn more about using recursive formula from brainly.com/question/1851471

#learnwithBrainly

You might be interested in

Choose the best graph that represents the linear equation: -2y = x + 6 Graph A On a coordinate plane, a line goes through (negat

Aleksandr-060686 [28]

Answer:

i think its A

Step-by-step explanation:

divide both sides by -2 which makes the y int -3 and A has a negative slope

6 0

2 years ago

How to get y=3x to the power of 2 graph

nata0808 [166]

Answer:

Step-by-step explanation:

5 0

3 years ago

Make an argument for why(4^2)4=(4^4)^2

cupoosta [38]

Questions is incomplete however from what i understand it is asking (4^2)^4 which can be made that the arguement of the function is correct because its is the multiplication of radicals which however way you put it will equal the same

3 0

3 years ago

Find r'(t), r(t0), and r'(t0) for the given value of (t0). r(t) = (e^t, e²t), t0 = 0

creativ13 [48]

Applying the differentiation rule, it can be obtained that:

$r'(t)=(e^t,2e^{2t})$ , $r(t_0)=(1,1)$ and $r'(t_0)=(1,2)$ .

<h3>What is the formula for differentiating an exponential function?</h3>

The exponential function exists a mathematical function designated by f(x)=\exp or e^{x}. Unless otherwise determined, the term generally directs to the positive-valued function of a real variable, although it can be extended to complex numerals or generalized to other mathematical objects like matrices or Lie algebras.

In mathematics, the derivative of a function of a real variable estimates the sensitivity to change of the function value affecting a change in its statement. Derivatives exist as a fundamental tool of calculus.

$\frac{d}{dt}(e^{mt})=me^{mt}$ .