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
mixer [17]
3 years ago
8

Can someone help me i am confused

Mathematics
1 answer:
hammer [34]3 years ago
5 0

Answer:

3. 2

4. f(n) = 3 + 4(n - 1)

Step-by-step explanation:

3. The general term of the arithmetic sequence is given by:

                                    A(n) = - 14 + (n - 1)(2)

To find the ninth term of this arithmetic sequence, just put $ n = 9 $ in the general term.

∴ A(9) = - 14 + (9 - 1)(2) = - 14 + 8(2) = -14 + 16 = 2.

Therefore the ninth term in the arithmetic sequence is two.

4. To know which expression represents the given sequence, substitute different values for $ n $ to conclude.

In Option A, f(n) = 4 + 3(n - 1). Substitute n = 1.

We get f(1) = 4 + 3(0) = 4. This is not the first term in the sequence and can be eliminated.

In Option B, f(n) = 4 + 3n. Substitute n = 1.

We get f(1) = 4 + 3(1) = 7, not 3 so can be eliminated.

Similarly in Option C, we get 7 and could be eliminated.

In Option D, f(n) = 3 + 4(n - 1). Substitute n = 1.

We get f(1) = 3 + 4(1 - 1) = 3, which is the first term in the sequence.

Similarly, f(2) = 3 + 4(2 - 1) = 3 + 4 = 7.

Substitute n = 3, 4 to get other terms as well.

So, we say f(n) = 3 + 4(n - 1) is the representation of the given arithmetic sequence.

You might be interested in
Juan cuts a piece of paper in half. he then cuts each half into thirds and each of those pieces into eights. finally, he cuts ea
Nookie1986 [14]

Answer:

D: 768

Step-by-step explanation:

First, he divides a piece of paper in half.

1 \div  \frac{1}{2}  = 2

He gets two pieces.

Next, he cuts each of the pieces into three parts.

2 \div  \frac{1}{3}  = 6

Thirdly, he cuts each of the 6 pieces into 8 pieces.

6 \div  \frac{1}{8}  = 48

Lastly, he divides each piece into 16 parts.

48 \div  \frac{1}{16}  = 768

He has 768 pieces in the end. (D)

7 0
3 years ago
You have a rack that can hold 30 CDs. You can fit 7 more CDs on the rack before the rack is full. How many CDs are in the rack?
uysha [10]
X = number of cds on the rack

x + 7 = 30
x = 30 - 7
x = 23 <== so there are currently 23 cds on the rack
5 0
3 years ago
Read 2 more answers
HELP HELP HELP HELP WOPFOPOPMPOMGOPRDAGS
Basile [38]

Answer:

Step-by-step explanation:

You can't ever let this go negative. At least not at the grade you are in.

It can be 0.

So the domain must start at x = 7

sqrt(5*7 - 35) = sqrt(0) = 0

x can have any value (including 7) between 7 and infinity. If you choose a number less than 7 (like 6) the square root will go negative and that's not to be done.

So the interval is

7 ≤ x < ∞

4 0
3 years ago
60 = −2(−10 − 4x)<br> what is the answer show step by step
Papessa [141]
That’s the answer with steps

8 0
3 years ago
Read 2 more answers
A race car is equipped with a computer that records the reading on its speedometer every second during a race. if you graph this
Eva8 [605]
D.) Dependent variable is "<span>instantaneous velocity" as it gives information of velocity at every second

Hope this helps!</span>
3 0
3 years ago
Read 2 more answers
Other questions:
  • a retangle has an area of 6 square meters. what will be the area of the retangle if each side length is increased by a factor 5?
    7·1 answer
  • How to simplify questions
    13·1 answer
  • Can someone please explain how to do this...make into a ratio:If 2 cups of peach go with 5 cups grape, how many cups of peach go
    6·1 answer
  • What's the answer to these
    9·1 answer
  • Match each unit rate to the graph that represents it.
    5·1 answer
  • What is the answer for all of them I don't know what to do
    13·2 answers
  • Write the expanded form of 0.68 with decimals
    5·1 answer
  • What’s the next 3 numbers after 1, -3, 9, -27
    14·2 answers
  • What is the correct order of the functions from least to greatest according to the average rate of change on the interval from x
    14·1 answer
  • Write the area of an isosceles triangle having length of equal sides pcm. and thrid side qcm.​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!