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
Vikentia [17]
3 years ago
14

James has noticed that the number of new tree branches that have grown on a tree in his backyard each year follows the sequence

1,3,5,7,… 1 , 3 , 5 , 7 , … meaning there was 1 1 new branch at 0 0 years, 3 3 new branches at 1 1 year, 5 5 new branches at 2 2 years, and so on.
If f(n)
f
(
n
)
represents the sequence, determine the number of new branches the tree will have at 10
10
years.

Enter the value of f(n)
f
(
n
)
at f(10).
f(10)= [] ⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯
f
(
10
)
=

[blank]

_
branches
Mathematics
1 answer:
eduard3 years ago
7 0

Notice that the pattern is "previous term plus 2".  This is an arithmetic sequence where the difference (d) equals +2

a_{n} = a₁ + d(n - 1)   ; where a₁ is the first term, d is the difference, and n is the term.

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

f(n) = 1 + 2n - 2

f(n) = 2n - 1

********************************

f(10) = 2(10) - 1

f(10) = 20 - 1

f(10) = 19

You might be interested in
Solve by the elimination method
Usimov [2.4K]

There is one solution. The solution of the system is (9,-5)

Option A is correct.

Step-by-step explanation:

We need to solve the system of equations by elimination method

6x= 64+2y\\2x= -7-5y

Rearranging the equations:

6x-2y=64\,\,\,eq(1)\\2x+5y=-7\,\,\,eq(2)

Eliminating y to find value of x:

Multiply eq(1) by 5 and eq(2) by 2 and add both equations:

30x-10y=320\,\,\,\\4x+10y=-14\\--------\\34x=306\\x=\frac{306}{34}\\ x=9

So, value of x= 9

Eliminating x to find value of y:

Multiply eq(1) by 2 and eq(2) by 6 and subtract both equations:

12x-4y=128\\12x+30y=-42\\-\,\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,+\\---------\\-34y=170\\y=\frac{170}{-34}\\ y=-5

So, value of y = -5

There is one solution. The solution of the system is (9,-5)

Option A is correct.

Keywords: Solving system of equations

Learn more about Solving system of equations at:

  • brainly.com/question/13168205
  • brainly.com/question/2115716
  • brainly.com/question/3739260

#learnwithBrainly

5 0
3 years ago
3/5 of a number decreased by one is 23. What is the number?
garri49 [273]
You can set up an equation based off of the information given:

x represents the unknown number

3/5x - 1 = 23

add 1 to both sides to isolate the 3/5x

3/5x = 24

divide both sides by 3/5 to solve for x

x = 120/3

120/3 can be simplified into 40

Final answer: x = 40
5 0
3 years ago
I don't know the transformation
NeX [460]
The original was expanded...
3 0
3 years ago
Trianas age is 5 years less than 3 times her brothers age. Trianas age is 11 minus her brothers age. How old is Triana?
erastova [34]

Answer: 7

HOPE THIS HELPS

8 0
3 years ago
What is the product?
RSB [31]

Answer:

15a^5b^15

Step-by-step explanation:

you multiply 5 and 3 to get 15, and then when you are multiplying exponents of variables, you actually add them, so a^2 times a^3 is actually a^5, and b^7 times b^8 is b^15. Because these are all multiplied together, you get the answer of 15a^5b^15.

4 0
2 years ago
Read 2 more answers
Other questions:
  • the height of the gem stone is 2.668 centimeters. the volume of the gem stone is 7.4793cubic centimeters. what is the side lengh
    7·1 answer
  • Multiply. <br> (3.5 x 10^-5) (3 x 10-10)
    10·1 answer
  • Daniel has a collection of stamps worth $6. He has five more 8 cents stamps than 30 cents stamps. The number of 6 cents stamps i
    15·1 answer
  • SOMEONE PLEASE HELP ME ASAP PLEASE PLEASE PLEASE !!!!!​
    8·1 answer
  • Sterling plants a tree that is 4 3/4 feet tall. One year later, the tree is 5 2/5 feet tall. How many feet did the tree grow?
    13·2 answers
  • What is the twentieth term of the arithmetic sequence described by the<br> equation an= 3n - 10?
    15·1 answer
  • A city park commission received a donation of playground equipment from a parents' organization. The area of the playground need
    7·1 answer
  • What do you always need to write around a coordinate?​
    7·2 answers
  • The table gives predictions of the average costs of a gasoline car after the year 2030. Which graph best represents the relation
    7·2 answers
  • What is the inverse of f(x) = (5x+2)^2 for x &gt; -2/5
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!