Use the calculator to approximate

You bike 1 mile the first day of your training, 1.3 miles the second day, 1.9 miles the third day, and 3.1 miles the fourth d

JulsSmile [24]

Answer:

19.9 miles

Step-by-step explanation:

In this problem we have:

$d_1=1 mi$ is the distance travelled during the 1st day

$d_2=1.3 mi$ is the distance travelled during the 2nd day

$d_3=1.9 mi$ is the distance travelled during the 3rd day

$d_4=3.1 mi$ is the distance travelled during the 4th day

We notice that the difference between the distance travelled on the (n+1)-th day and the distance travelled on the n-th day doubles every day. In fact:

$d_2-d_1=0.3\\d_3-d_2=2\cdot 0.3 = 0.6\\d_4-d_3=2\cdot 0.6 = 1.2$

Which can be rewritten using the general formula:

$d_{n+1}-d_n=2(d_n-d_{n-1})$

This means that

$d_{n+1}=d_n+2(d_n-d_{n-1})$

By applying this formula recursively, we can find the 7th term, which is the distance travelled on the 7th day:

$d_1=1\\d_2=1.3\\d_3=1.9\\d_4=3.1\\d_5=3.1+2\cdot 1.2=5.5\\d_6=5.5+2\cdot 2.4=10.3\\d_7=10.3+2\cdot 4.8=19.9 mi$

So, the distance travelled on the 7th day is 19.9 miles.

7 0

3 years ago

What is the value of the 5 in the number 14.5?

WINSTONCH [101]

The alue of 5 is the tenths place.

3 0

3 years ago

What is the answer help plz

olga55 [171]

Answer:

y = -3x-2

Step-by-step explanation:

the slope can be found using rise/run which comes out to be -3/1 and you can drop the 1 from the fraction to have -3. and then the y-intercept is found from where the line crosses the y-axis

6 0

2 years ago

The video club to which Lin belongs allows her to receive one free DVD for every three DVDS she rents. If she pays $3 for each D

Nesterboy [21]

Answer:

12

Step-by-step explanation:

Given:

On every 3 DVDs she rents, 1 DVD is received for free

Rent of each DVD = $3

Total amount paid = $114

Now,

The total number of DVDs she took on rent = $\frac{\textup{Total amount paid}}{\textup{Rent of each DVD}}$

or

The total number of DVDs she took on rent = $\frac{\textup{114}}{\textup{3}}$

or

The total number of DVDs she took on rent = 38

also,

For every 3 DVDs she gets 1 Free DVD

thus,

For every 1 DVD she gets $\frac{\textup{1}}{\textup{3}}$ free DVD

therefore,

For 38 DVD she gets $\frac{\textup{38}}{\textup{3}}$ free DVD

or

she gets 12.67 DVDs free

Since,

the DVDs cannot be given in fraction

Hence she will get 12 free DVDs

5 0

3 years ago

the number of employees for a certain company has been decreasing each year by 2% if the company currently has 870 employees and

Readme [11.4K]

Step-by-step explanation:

Number of employees in 9 years

= 870 * (1 - 0.02)⁹

= 870 * (0.98)⁹

≈ 725 employees.

8 0

3 years ago