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In-s [12.5K]
2 years ago
8

Find the first three terms of the series represented by the formula 3(- 2)(n - 1).

Mathematics
1 answer:
enyata [817]2 years ago
8 0

Answer:

0, - 6, - 12

Step-by-step explanation:

To find the first 3 terms, substitute n = 1, 2, 3 into the formula

a₁ = 3(- 2)(1 - 1) = 3 × - 2 × 0 = 0

a₂ = 3(- 2)(2 - 1) = 3 × - 2 × 1 = - 6

a₃ = 3(- 2)(3 - 1) = 3 × - 2 × 2 = - 12

First 3 terms are 0, - 6, - 12

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A cell phone provider will allow you to buy a phone over time. They require a $50 initial payment and then charge $25 per month.
kumpel [21]

Answer:

25

Step-by-step explanation:

Given that:

Initial payment done for buying the phone = $50

Charges per month for the phone = $25 per month

To find:

The equation to represent the situation and its slope.

Solution:

First of all, let us assume that m represents the number of months for which monthly is to be made.

Charges paid for one month = $25

Charges paid for m months =  $25m

Total cost of the phone = Initial payment + Charges paid for m months

C = 25m + 50

It is a linear equation between two variables C and m.

This equation can be compared with slope intercept form of a line.

Slope intercept form of a line is represented by:

y=Mx+c

M is the slope.

On Comparing, we get:

y = C, M = 25, x = m, c = 50

Therefore, the slope is <em>25</em>.

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2 years ago
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olchik [2.2K]

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6 0
2 years ago
Aaron found rhe length of the diagonal of a rectangle to be an irrational number. What could be the lenght of the diagonal
Amanda [17]

Answer:

See below

Step-by-step explanation:

It could be a positive square root l like √10  ( the number not being a perfect square).

He would have obtained this value from the application of the Pythagoras theorem. For example the length and width of the rectangle might have been 3 and 1 foot respectively, so the diagonal would have length  √(3^2 + 1^2) = √10.

He could give an estimate of the length to nearest hundredth using his calculator. This would be 3.16 feet.

7 0
3 years ago
Write 12.6 as a mixed number with the fraction in simplest form
Naily [24]
Using your knowledge of place value the number is

12 6/10 which then reduces to

12 3/5
6 0
2 years ago
The equation for the pH of a substance is pH = –log[H+], where H+ is the concentration of hydrogen ions. Which equation models t
Zanzabum

Answer:  [H+] = 10^-7.2

Step-by-step explanation:

Given that the PH of the solution = 7.2

Using the formula pH = –log[H+]. To get the H+ concentration from the pH, raise both sides by the base of 10. Then we have

10^ -pH = H+. with pH of 7.2,

Thus the answer to this problem is

[H+] = 10^-7.2

8 0
3 years ago
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