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Sloan [31]
4 years ago
10

What is the explicit formula for this sequence?

Mathematics
1 answer:
ddd [48]4 years ago
6 0

Answer:

a_n=-7+4(n-1)

or

a_n=-7+(n-1)(4)

Step-by-step explanation:

-7,-3,1,5,... is a arithmetic sequence.

Arithmetic sequences have a common difference. That is, it is going up by 4 each time.

When you see arithmetic sequence, you should think linear equation.

The point-slope form of a line is y-y_1=m(x-x_1).

m is the common difference, the slope.

Any they are using the point at x=1 in the point slope form.  So they are using (1,-7).

So let's put this into our point-slope form:

y-(-7)=4(x-1)

y+7=4(x-1)

Subtract 7 on both sides:

y=-7+4(x-1)

So your answer is

a_n=-7+4(n-1)

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andreev551 [17]
He will use more tiles because 1/3 is smaller than 1/2 and the smaller the tiles the more you need to fill the place up.
3 0
3 years ago
M+(-9.5)=-7.8 how do you do this problem
krok68 [10]
M + (-9.5) = -7.8

First, simplify your brackets. / Your problem should look like: m + -9.5 = -7.8
Second, change addition to subtraction. / Your problem should look like: m - 9.5 = -7.8
Third, add 9.5 to both sides. / Your problem should look like: m = -7.8 + 9.5
Fourth, simplify. / Your problem should look like: m = 1.7

Answer: m = 1.7

3 0
3 years ago
What is the decimal representation of seven hundredths
irakobra [83]
0.07 or .07 is the same
6 0
3 years ago
While building a snowman, a large snowball is created so that the radius is changing at the rate of 5 inches per hour. How fast
diamong [38]

Answer:

2000π in³/s

or 6283.2 in³/s

Step-by-step explanation:

dr/dt = 5  

volume of sphere is given as

v = (4/3)(π)r³

differentitate wrt r

dv/dr = 3×4/3 ×π×r²

dv/dr = 4πr²

put r = 10

dv/dr = 4π(10)²

dv/dr = 400π

by chain rule

dv/dt = dv/dr ×dr/dt

dv/dt = 400π× 5

dv/dt = 2000π in³/s

or dv/dt =6283.2 in³/s

7 0
3 years ago
Select the correct scientific notation form of this numeral.
ioda

The scientific notation for the number 1063 is 1.063×10³ after using the concept of fraction option (B) 1.063×10³ is correct.

<h3>What is the number?</h3>

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

It is given that:

The number is 1063

As we know the scientific notation can be written as:

\rm = A\times10^a

1063 can be written as:

= 1063  

= (1063/1000)1000

1.063×10³

Thus, the scientific notation for the number 1063 is 1.063×10³ after using the concept of fraction option (B) 1.063×10³ is correct.

Learn more about the number here:

brainly.com/question/17429689

#SPJ1

8 0
2 years ago
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