1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
goblinko [34]
3 years ago
6

Write the five term sequence that would represent each recursive rule f(x) = f(x-1) -7; f(2) = 12

Mathematics
1 answer:
barxatty [35]3 years ago
8 0

<u>Answer: </u>

Required five terms of sequence are 19 , 12 , 5 , -2 and -9 .

<u> Solution: </u>

Need to find the five terms of the sequence.

Given recursive rule is f(x) = f(x-1) -7

Substituting x = 2 , f(2) = f(2-1)-7

= f(2) = f(1) – 7    ------(1)

Also given that f(2) = 12.  

On substituting the given value of f(2) in eq (1) we get

12 = f(1) – 7

f(1) = 12 + 7 = 19

Using given recursive rule and given value of f(2) calculating f(3)

Substituting x = 3 ,  

f(3) = f(3-1) – 7  

= f(2) – 7  

= 12 – 7  

= 5

Using given recursive rule and calculated  value of f(3) calculating f(4)

Substituting x = 4,  

f(4) = f(4-1) – 7  

= f(3) – 7  

= 5– 7  

= -2

Using given recursive rule and calculated  value of f(4) calculating f(5)

Substituting x = 5,  

f(5) = f(5-1) – 7  

= f(4) – 7  

= -2– 7  

= -9

Hence required five terms of sequence are 19 , 12 , 5 , -2 and -9 .

You might be interested in
Why is 4+ -3 equal to one
tiny-mole [99]

Answer:

"Zero-Exponent Rule: a0 = 1, this says that anything raised to the zero power is 1. Power Rule (Powers to Powers): (am)n = amn, this says that to raise a power to a power you need to multiply the exponents."

brainlist?

4 0
3 years ago
Adrian’s recipe for cranberry relish calls for 1 1/4 cups of sugar. He wants to use 1/2 that amount. How much sugar should he us
REY [17]
12/4 she uses for surgar

8 0
3 years ago
the ratio of boys to girls in a class is 7 to 11. if there are a total of 49 boys in the class , then how many boys and girls ar
tatyana61 [14]

Answer:

There are <u>77</u><u> girls</u> in the class when there are 49 boys.

8 0
3 years ago
Read 2 more answers
A cabinet is the shape of a triangular prism. The triangular base has a base length of 14 inches and a base height of 22 inches.
Gekata [30.6K]

Answer:

gat

Step-by-step explanation:

3 0
2 years ago
Calculate the infant mortality rate (per 1,000 live births) from the following data:
Feliz [49]

Answer:

ahsbbsnssisiskak sjsnsnaan

8 0
3 years ago
Other questions:
  • What is the GCF of 28 and 40
    5·1 answer
  • Solve the equation -4x=-40 x=
    13·2 answers
  • The ratio of two supplementary angles is 16:29.
    12·1 answer
  • 2 1/4 - 1 3/4 can I get the answer ​
    9·2 answers
  • The value of the _____ determines whether the graph of an exponential function increases or decreases from left to right.
    9·2 answers
  • BRAINLIEST ANSWER! PLEASE HELP! Use experimental probability to make a prediction. John made 35 free throws and missed 15. Predi
    5·1 answer
  • What is the value of x in the following equation: 5 = (x + 3)^1/2
    5·2 answers
  • The ratio of red marbles and blue marbles in a bag of 2 to 3. What would be the the number of red and bkue marbkes in the bag
    10·1 answer
  • I need help on number 5​
    13·2 answers
  • 50% of 320 is equal to 80% of what number?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!