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3 years ago

C(1)=−20 c(n)=c(n−1)+10 Find the second term in the sequence.

Mathematics

1 answer:

svet-max [94.6K]3 years ago

5 0

Answer:

c(2) = -10

Step-by-step explanation:

The first equation says that the first term of the sequence is -20.

The second equation is saying that to find any term of the sequence, add 10 to the previous term.

c(2) = c(2-1) + 10

c(2) = c(1) + 10

c(2) = -20 + 10 = -10

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What is the 10th term of the geometric sequence 400, 200, 100…?

dusya [7]

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3 years ago

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Find the value of x if -x+4=-9

vladimir1956 [14]

Answer:

-13

Step-by-step explanation:

x+4=-9

-4 -4

x= -13

If you did 9+4 you'd get 13. But instead its negative because x is negative.

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3 years ago

Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the previous year's value. At this

tankabanditka [31]

Answer:

$120.1355

Step-by-step explanation:

We can model this as an exponencial function:

P = Po * (1+r)^t

Where P is the final value, Po is the inicial value, r is the rate and t is the amount of time.

For this case, we have that Po = 900, r = -25% = -0.25 and t = 7, so we can find the value of P

P = 900 * (1 - 0.25)^7 = $120.1355

The price after 7 years will be $120.1355.

8 0

3 years ago

What is the equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (–5, 1)? Check all that ap

Bond [772]

So the right options are:

$y=-\frac{2}{5}x-1$

$2x+5y = -5$

$y-1=-\frac{2}{5}(x+5)$

Further explanation:

Given equation of line is:

2x+5y=10

We have to convert it into point-slope form

$2x+5y=10\\5y=-2x+10\\Dividing\ both\ sides\ by\ 5\\y=-\frac{2}{5}x+\frac{10}{5}\\y=-\frac{2}{5}x+2$

The co-efficient of x is the slope of the line

So,

$m= -\frac{2}{5}$

As the required line is parallel to given line, it will also have same slope.

Let m1 be the slope of required line

Then the line will be:

$y=m_1x+b$

Putting the value of slope

$y=\frac{2}{5}x+b$

Putting (-5,1) in the equation to find the value of b

$1=-\frac{2}{5}(-5)+b\\1=2+b\\b=1-2\\b=-1$

Putting the values of slope and b in equation

$y=-\frac{2}{5}x-1$

Multiplying the whole equation by 5 will give us:

5y = -2x-5

2x+5y = -5

Another form of equation of line is Point-slope form

$y-y_1=m(x-x_1)$

Putting the values of slope and point in the equation, we get

$y-1=-\frac{2}{5}(x+5)$

So the right options are:

$y=-\frac{2}{5}x-1$

$2x+5y = -5$

$y-1=-\frac{2}{5}(x+5)$

Keywords: Point-Slope form, Parallel lines

Learn more about point slope form at:

#LearnwithBrainly

4 0

3 years ago

Read 2 more answers

Elias has read 18 pages of a book. He will continue to read at an average rate of 4 5 5 4 page per minute. The total number of

vovangra [49]

Answer:

26.25 minutes

Step-by-step explanation:

Given that :

Number of pages (p) read by Elias can be modeled by the function ;

p = 45m + 18

Where P = Number of pages ; m = number of minutes

Number of minutes it will take to read a total of 39 pages

p = 4/5m + 18

39 = 4/5m + 18

39 - 18 = 4/5m

21 = 4/5m

4m = 21 * 5

4m = 105

m = 105 / 4

m = 26.25

5 0

2 years ago

C(1)=−20 c(n)=c(n−1)+10 Find the second term in the sequence. ​

C(1)=−20 c(n)=c(n−1)+10 Find the second term in the sequence.