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2 years ago

A sequence is defined by the recursive formula f (n + 1) = f(n) – 2. If f(1) = 18, what is f(5)?

Mathematics

2 answers:

yan [13]2 years ago

4 0

Answer:

f(5)=10 so 10 is your answer.

Step-by-step explanation:

I just did it on ed. ;)

masya89 [10]2 years ago

3 0

It will be easier if we wrote some terms to help us predict the nature of the sequence
f(1)=18,f(2)=18-2=16,f(3)=16-2=14,f(4)=14-2=12f(5)=10
so the nth term will be in the form
f(n)=18-2(n-1)

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Please help, ive been stuck on this question for a while

svetlana [45]

Answer: a

Step-by-step explanation:

The graph has a vertex at x=3, so eliminate d and e.

The graph's vertex is at x=1, so eliminate c.

The graph opens upward, so eliminate b.

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1 year ago

The five numbers summary for a data set is shown below. What is the range of the data set? 3, 7, 11, 14, 16

scoundrel [369]

Answer:

Step-by-step explanation:

The range of a set of data is the difference between the highest and lowest values in the set.

So, in order to find the range, you first order the data from least to greatest. Which it is already.

3, 7, 11, 14, 16

Then subtract the smallest value from the largest value in the set.

16 - 3 = 13

Hope this helps you out! : )

3 0

2 years ago

What is 64x^6 + 27 written as a sum of cubes?

Talja [164]

Answer:

(4x² + 3)(16 $x^{4}$ - 12x² + 9)

Step-by-step explanation:

A sum of cubes factors as

a³ + b³ = (a + b)(a² - ab + b²)

64 $x^{6}$ = (4x²)³ ⇒ a = 4x²

27 = 3³ ⇒ b = 3

Hence

64 $x^{6}$ + 27

(4x² + 3)((4x²)² - (4x² × 3) + 3²)

= (4x² + 3)(16 $x^{4}$ - 12x² + 9)

7 0

2 years ago

What is 6 to the fourth power <img src="https://tex.z-dn.net/?f=%20%7B6%7D%5E%7B4%7D%20" id="TexFormula1" title=" {6}^{4} " a

Anon25 [30]

6 to the fourth power is 1296 because 6x6x6x6 gives you 1296

4 0

3 years ago

Read 2 more answers

Which of the following equations is equivalent to x - y = 5?

Masja [62]

Answer:

$6x-6y=30$

Step-by-step explanation:

The complete options are

a) x - 2y = 30

b) 4x - 3y = 30

c) 3x - 4y = 30

d) 6x - 6y = 30

The given equation is

$x-y=5$

Verify option d

we have

$6x-6y=30$

Divide by 6 both sides

$(6x-6y)/6=30/6$

$\frac{6x}{6}-\frac{6y}{6}=\frac{30}{6}$

$x-y=5$

therefore

$x-y=5$ and $6x-6y=30$ are equivalent

3 0

3 years ago