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Alexus [3.1K]
4 years ago
12

What is the expression for the below sequence (use n) -3,-6,-9,-12

Mathematics
1 answer:
polet [3.4K]4 years ago
6 0

Answer:

a_{n} = - 3n

Step-by-step explanation:

There is a common difference between consecutive terms, that is

- 6 - (- 3) = - 9 - (- 6) = - 12 - (- 9) = - 3

This indicate the sequence is arithmetic with n th term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3 and d = - 3 , thus

a_{n} = - 3 - 3(n - 1) = - 3 - 3n + 3 = - 3n

The n th term is - 3n

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The sum of three consecutive even numbers is 24 , find the numbers.
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Answer:

three consecutive even integers whose sum is 24 are 6, 8 and 10.

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Find the equation for the line that passes through the point (2, -3), and that is parallel to the line with the equation x - 3y
Vadim26 [7]

Step-by-step explanation:

the slope of a line is the factor of x, when the equating looks like

y = ...

so,

x - 3y = 3

x = 3y + 3

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y = 1/3 x - 1

so, the original slope is 1/3.

a parallel line has the same slope.

having a specific point we can use the point-slope form as equation :

y - y1 = m(x - x1)

with m being the slope, and (x1, y1) being a point on the line.

y - -3 = 1/3(x - 2)

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simplified that is

y + 3 = 1/3 x - 2/3

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2 years ago
You are given the dollar value of a product in 2012 and the rate at which the value of the product is expected to change during
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Answer:

V=r*t+D-2*r

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V= dollar value of the product

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t= time in years (where t=0 represents 2010)

D= dollar value of product in 2012

Step-by-step explanation:

A linear equation for V in terms of t will have the following form

V=r*t+C <em>(equation 1)</em>

where r will be the rate at which the value of the value of product is expected to change, V is the dollar value of the product at the year t (being t=0 for 2010) and C is a constant number which we should be able to find knowing the value of V at some point in time.

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So the final equation would be

V=r*t+D-2*r

with

V= dollar value of the product

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D= dollar value of product in 2012

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