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
Mademuasel [1]
3 years ago
15

A sequence is defined by the recursive function f(n 1) = f(n) – 2.if f(1) = 10, what is f(3)?16830

Mathematics
2 answers:
iogann1982 [59]3 years ago
5 0
Hello,

f(n+1)=f(n)-2
f(1)=10
f(2)=8
f(3)=6
...
artcher [175]3 years ago
3 0

Answer: f(3) =6

Step-by-step explanation:

Given: A sequence is defined by the recursive function

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

f(1)= 10

Then f(2) can be written as

f(2)=f(1+1)\\\\\Rightarrow f(2)=f(1)-2\\\\\Rightarrow f(2)=10-2\\\\\Rightarrow f(2)=8

Similarly, f(3) can be written as

f(3)=f(2+1)\\\\\Rightarrow f(3)=f(2)-2\\\\\Rightarrow f(3)=8-2\\\\\Rightarrow f(3)=6

Therefore, the value of f(3) =6.

You might be interested in
Tom has 2 1/2 times as many cards as Harry. Together they have 98 cards. How many cards do they each have?
USPshnik [31]

Answer:

Tom has 70 cards, and Harry has 28 cards.

Step-by-step explanation:

Let h = number of cards Harry has.

Then the number of cards Tom has is 2 1/2 * h = 2.5h.

Together they have 2.5h + h = 3.5h number of cards.

Together they have 98 cards.

3.5h = 98

h = 98/3.5

h = 28

Harry has 28 cards.

Tom has 2.5h = 2.5 * 28 = 70

Answer: Tom has 70 cards, and Harry has 28 cards.

7 0
2 years ago
Simplify the expression. <br><br>tan(-x)csc(-x)/sec(-x)cot (-x)
Scrat [10]
Tan(-x)csc(-x)sec -1  (-x)cot(-x) i am not sure, I hope you get a good grade, this is what i got.. ',: (
5 0
2 years ago
It takes one large pizza to feed
Misha Larkins [42]

Answer:

12

Step-by-step explanation:

36÷3=12

So you will need 12 pizzas

7 0
2 years ago
Read 2 more answers
Two angles of a triangle measure 78 and 24
Leviafan [203]

Answer: 78

Step-by-step explanation: Remember every triangle ads up to a total of 180 degrees. You just have to make sure that it adds up to 180

8 0
3 years ago
D) If C.P. - Rs 100, S.P. Rs 80, then loss percent​
AfilCa [17]

Step-by-step explanation:

Selling price = Rs.80

Cost price = Rs.100

here, CP > SP

Now...

Loss ( L ) = CP - SP

= RS.100 - 80

= Rs.20

Now...

loss \: percent \:  =  \frac{loss}{CP}  \times 100%

=  \frac{2000}{100}  \\

= 20 %

3 0
2 years ago
Other questions:
  • If a coin is tossed and a number cube is rolled, how many times would we expect to get heads and a 4 out of 600 trials?
    12·1 answer
  • The property is 382 meters long and 89 meters wide. What is the area of the property?
    13·1 answer
  • The data represents the body mass index​ (BMI) values for 20 females. Construct a frequency distribution beginning with a lower
    7·1 answer
  • A tennis couch took his team out for like lunch and bought a burgers in five fries for $24. The players were still hungry so the
    14·2 answers
  • 3.5(x + 2) - 6.5 - 2.5(x - 4)
    5·1 answer
  • Need answer to 13+p/3=-4​
    8·2 answers
  • I'm about to end my life over statistics please help as soon as possible. I'm doing the Important Characteristics Quiz
    13·1 answer
  • Find the area of the right triangle with a base of 38cm and the height of 26cm
    8·1 answer
  • The emergency brake cable in a truck parked on a steep hill breaks and the truck starts rolling down the hill. The distance in f
    7·1 answer
  • If a cube has a side length of 6.5 inches, which would be the cube's volume?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!