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
stepladder [879]
3 years ago
8

A sequence has the recursive rule f(n)=2f(n-1). The first term of the sequence is 7. Write the first 3 terms of the sequence

Mathematics
1 answer:
alina1380 [7]3 years ago
8 0

The rule says each term is double the previous one. Your terms are ...

... 7, 14, 28

You might be interested in
Find the doubling time of an investment earning 7% interest if interest is compounded continuously
Alex

Answer:

The doubling time of this investment would be 9.9 years.

Step-by-step explanation:

The appropriate equation for this compound interest is

A = Pe^(rt), where P is the principal, r is the interest rate as a decimal fraction, and t is the elapsed time in years.

If P doubles, then A = 2P

Thus, 2P = Pe^(0.07t)

Dividing both sides by P results in 2 = e^(0.07t)

Take the natural log of both sides:  ln 2 = 0.07t.

Then t = elapsed time = ln 2

                                       --------- = 0.69315/0.07 = 9.9

                                         0.07

The doubling time of this investment would be 9.9 years.

5 0
3 years ago
14. As x increases in the equation 3x – 2y = 6, the value of y
Harman [31]
B. Decreases

(Hopefully I’m right!)
8 0
2 years ago
If y varies inversely as x and y is 2.5 when x is 6, what is y when x is 4? a. 3.75 b. 1.67 c. 0.1 d. 7.5 Please select the best
REY [17]
Because y varies inversely as x, therefore
y= \frac{k}{x}
where k =  constant.

When x = 6, y = 2.5. Ther efore
\frac{k}{6} = 2.5
Cross multiply.
k = 6 x 2.5 = 15

The equation is
y =  \frac{15}{x}

When x = 4, obtain
y =  \frac{15}{4}= 3.75

Answer: a. 3.75

8 0
3 years ago
Read 2 more answers
(6.253•10^-2)(7.112x10^3) in scientific notation
zlopas [31]

Answer:

4.4471336 * 10^2.

Step-by-step explanation:

(6.253•10^-2)(7.112x10^3)

= 6.253*7.112 * 10^-2*10^3

= 44.471336 * 10^1

= 4.4471336 * 10^2.

7 0
3 years ago
If 1/4 gallons of water are enough to fill 7/10 of the pool how much water is nessacary to fill in the entire pool
anyanavicka [17]
<h3>Answer:  5/14 gallons</h3>

============================================================

Work Shown:

1/4 = 0.25

7/10 = 0.70 = 70%

We are told that 0.25 gallons of water fills 70% of the pool

We want to find how many gallons of water (call it x) are needed to fill 100% of the pool.

Set up the proportion below and solve for x

(0.25 gallons)/(70% filled) = (x gallons)/(100% filled)

0.25/70 = x/100

0.25*100 = 70x ....... cross multiply

25 = 70x

70x = 25

x = 25/70

x = (5*5)/(5*14)

x = 5/14 gallons

----------------------------------------

An alternate method:

1/4 gallons = 7/10 pools filled

(10/7)*(1/4 gallons) = (10/7)*(7/10 pools filled)

(10*1)/(7*4) gallons = (10*7)/(7*10) pools filled

10/28 gallons = 1 pool filled

(5*2)/(14*2) gallons = 1 pool filled

5/14 gallons = 1 pool filled

In the second step, I multiplied both sides by 10/7 so that the "7/10" turns into "1".

----------------------------------------

Yet another alternate method:

1/4 = 10/40

7/10 = 28/40

We need 10/40 gallons of water to fill 28/40 of one pool. We can multiply both fractions by 40 to indicate that 10 gallons of water will fill up 28 pools.

So we have this ratio

10 gallons : 28 pools

Dividing both parts by 28 tells us how many gallons are needed for one pool

10 gallons : 28 pools

10/28 gallons : 28/28 pools

10/28 gallons : 1 pool

5/14 gallons : 1 pool

8 0
3 years ago
Other questions:
  • Which one of the following formulas correctly expresses this statement: A quantity x is equal to the sum of the squares of a and
    8·1 answer
  • the distance around a track is 400m. if you take 14 laps around the track what is the total distance you walk? use mental math
    8·2 answers
  • NEED QUICK HELP.
    8·1 answer
  • Use the distance formula to find the distance between the two points
    5·1 answer
  • 1. The degree of 5x³+4x²+7x degree of the quadratic Polynomial is
    13·1 answer
  • Place the indicated product in the proper location on the grid.<br> (2a^x+1/2b^x)^2
    9·2 answers
  • .....................................
    15·1 answer
  • Can you help me please​
    5·1 answer
  • Tammy’s home cost her $184,000. She lives in an area with a lively real estate market, and her home increases in value by 3. 5
    14·1 answer
  • Question 4) Identify the surface area of the composite figure.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!