MATHEMATICS MIDDLE SCHOOL

If f(1) = 7 and f(n) = f(n − 1) – 4 then find the value of f(6).

Answers

Answer 1
Answer:

Answer:

- 13

Step-by-step explanation:

f(1) = 7

f(n) = f(n − 1) – 4

f(₂) = f(1) – 4 = 7 - 4 = 3

f(₃) = f(₂) – 4 = 3 - 4 = -1

f(₄) = f(3) – 4 = (-1) - 4 = - 5

f(₅) = f(₄) – 4 = (- 5) - 4 = - 9

f(₆) = f(₅) – 4 = (- 9) - 4 =  - 13
Answer 2
Answer:

Final answer:

The value of f(6) is -13, calculated based on the provided recursive formula where each term is four less than the previous.

Explanation:

We are given that f(1) = 7, and the recursive equation for n is f(n) = f(n − 1) – 4. Since the equation shows that each next term is four less than the previous one, we can calculate the following iterations:

  • f(2) = f(2-1) - 4 = f(1) - 4 = 7 - 4 = 3
  • f(3) = f(3-1) - 4 = f(2) - 4 = 3 - 4 = -1
  • f(4) = f(4-1) - 4 = f(3) - 4 = -1 - 4 = -5
  • f(5) = f(5-1) - 4 = f(4) - 4 = -5 - 4 = -9
  • f(6) = f(6-1) - 4 = f(5) - 4 = -9 - 4 = -13

So, the value of f(6) is -13.

Learn more about Recursive Formulas here:

brainly.com/question/32794966

#SPJ2

Related Questions

What is the relationship with 0.04 and 0.004
108 divided by 6 distributive property
PLEASE HELP! Answer quickly for points!! There are 5 times as many tomato plants as there are cucumber plants. The number of pepper plants is 7 more than the sum as tomato and cucumber plants. There are 19 pepper plants in the garden. How many tomato plants are there. How many cucumber plants are there?
Which one of these tables represent a non-linear function
What is -5 ÷ 3/8? A. 1 7/8 B. -5 3/8 C. -1 7/8 D. -13 1/3

cual es la menor cantidad de dinero que necesito para comprar un número exacto de trajes de a $30, $45 o $50 cada uno si quiero que en cada caso me sobren $25?

Answers

I Think You Have To Multiply 30 45 50 And 25

Multiply
(2x + 4)(2x - 4)

Answers

Answer:

4x^2 -16

Step-by-step explanation:

(2x + 4)(2x - 4)

FOIL

first:2x*2x = 4x^2

outer: -4 *2x = -8x

inner:  4*2x = 8x

last: -4*4 = -16

Add them together

4x^2 -8x+8x =-16

4x^2 -16

The multiplication of the expression (2x + 4)(2x - 4) is 4x² - 16.

What is the simplified form of the expression?

Given the expression in the question:
(2x + 4)(2x - 4)

We can multiply the expression (2x + 4)(2x - 4) using the distributive property and the FOIL method.

(2x + 4)(2x - 4)

Apply the FOIL method:

2x( 2x - 4 ) + 4( 2x - 4 )

Apply distributive property:

2x × 2x + 2x × - 4 + 4 × 2x 4 × - 4

Multiply the terms:

4x² - 8x + 8x - 16

Collect and add like terms:

4x² - 16

Therefore, the simplified form is 4x² - 16.

Learn more about the FOIL method here: brainly.com/question/27980306

#SPJ6

If Jay ran 1 mile in 10 minutes on Monday, 2 miles in 20 minutes on Tuesday,and 3 miles in 30 minutes on Wednesday, how many miles do you think he
might run in 40 minutes on Thursday?

Answers

Answer:

4 miles

Step-by-step explanation:

Rodrigo practiced playing the guitar for 15 1/3 hours over the past 3 weeks. He practiced for 6 1/4 hours during the first week and 4 2/3 hours during the second week. How much time did Rodrigo spend practicing during the third week? Use the numbers and symbols to write an equation that represents the problem. Then solve the equation.

Answers

15 1/3 - 6 1/4 - 4 2/3 = 4.41666666667 hours

The average person lives 78 years Does the average person live for at least 1,000,000 hours?

Answers

First we will divide to see how many years will come in the amount of days,

1,000,000 ÷ 365 ≈ 2,740

SO, in 1,000,000 days there are ABOUT 2,740 years. 

Next we will multiply  to see how many days there are in 78 years.

365 × 78 =  28,470

SO, there are 28,470 days in 78 years. 

No, the average person lives more than 1,000,000 days. 

Hope I helped ya!! 

I just answered this fore someone, a couple of days ago! 
No the average person lives longer.
60 x 24 = 1,440
1,140 x 365 = 525,600
525,600 x 78 = 40,996,800
Which is more than 1,00,000

Solve for x. Show all steps:1/5x+1/4x=1/2x+2

Simplify.
-2/5(15x-20y+5)

BTW how do you add pictures?

Answers

Distribute by multiplying -2/5 by each value inside the parenthesis (15x, -20y, 5)

-6x+8y-2                ->               -8y=-6x-2         ->         y=.75x-.25  <- Answer
Other Questions
What is 1 tenth of 0.08
How many gallons is 32 quarts
Which is an accurate description of early Native Americans? A. many languages, but only one way of life and tribal organization B. hundreds of Indian peoples, tribes, languages, and ways of life C. fewer than fifteen languages, Indian peoples and cultures D. one shared language, tribal organization, and culture
Doug needs a ladder that is at least 12 meters long. he has a ladder that is 30 feet long. about how many feet too short is this ladder?