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Charra [1.4K]
3 years ago
6

Write the first four terms of the sequence: a = 2 an = a(n-1) + 4

Mathematics
1 answer:
eduard3 years ago
3 0

We have sequence equation a_n=a(n-1)+4.

In this case n is a natural number (1, 2, 3, ...).

So start inserting and computing value of a_n given that you know the value of n and a.

a_1=2(1-1)+4=4 (first term)

a_2=2(2-1)+4=6 \\a_3=2(3-1)+4=8 \\a_4=2(4-1)+4=10

Hope this helps.

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What does 9y =27 equation mean
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9y=27

divide by 9 each side

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What is the pattern of the trend line equation in this graph?
kondaur [170]

The pattern of the trend line from what we can see here shows the existence of a positive upward trend.

<h3>What is a positive upward trend?</h3>

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It slants to the top. This shows us that the trend is positive and rising over the period of time that we have in the graph. In the graph, the upward trend can be seen from the fact that there has been a rise in the temperature of the city over the time period that was illustrated. The increase in temperature rose from 31.5 to 33 degrees period of time.

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Four gallons of gasoline cost $16.80. What is the price per gallon (also known as the slope of the line)?
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3 years ago
The length of a living room is 12 feet and its width is 1012 feet. The length of the room is being expanded by x feet. Choose an
Ivanshal [37]

Answer:

Option C. 10.5(12 + x) square feet

Option E. (126 + 10.5x) square feet

Step-by-step explanation:

step 1

Find the area of the original living room

we know that

The area of the original living room is equal to

A=LW

we have

L=12\ ft\\W=10\frac{1}{2}\ ft=10.5\ ft

substitute

A=(12)(10.5)=126\ ft^2

step 2

Find the new area of the living room

The length of the room is being expanded by x feet

so

we have

L=(12+x)\ ft\\W=10.5\ ft

The new area is

A=10.5(12+x)\ ft^2

The expanded form of the expression is

Apply distributive property

A=10.5(12)+10.5(x)\\A=(126+10.5x)\ ft^2

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