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Sladkaya [172]
4 years ago
5

What is the general rule for the arithmetic sequence? 15, 12, 9, 6, … A. 3n – 18 B. 6(3 – n) C. 3n + 12 D. 18 – 3n

Mathematics
1 answer:
slavikrds [6]4 years ago
3 0
A1 = first term
a1 = 15
---------------------------------------------
d = common difference 
d = (second term) - (first term)
d = a2 - a1
d = 9-12
d = -3
The negative common difference indicates that the terms are decreasing
Each time we subtract 3, or add -3, to get the next term.
----------------------------------------------
nth term of arithmetic sequence
an = a1 + d(n-1)
an = 15 + (-3)(n-1)
an = 15- 3n + 3
an = 18 - 3n

Answer is choice D
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A. -$32.00
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In Lucille’s class, 35% of the students have blond hair. There are 20 students in the class. How many students have blond hair.
MrRissso [65]

Answer:

7 the answer is 7

Step-by-step explanation:

1. We assume, that the number 20 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 20 is 100%, so we can write it down as 20=100%.

4. We know, that x is 35% of the output value, so we can write it down as x=35%.

5. Now we have two simple equations:

1) 20=100%

2) x=35%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

20/x=100%/35%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 35% of 20

20/x=100/35

(20/x)*x=(100/35)*x       -

20=2.85714285714*x       -

20/2.85714285714=x

7=x

x=7

now we have:

35% of 20=7

we multiply both sides by x

then we divide both sides by 2.85714285714 to get x

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4 years ago
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The rational number -33 is equal
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Answer:

-33

Step-by-step explanation:

The rational number -33 is equal to -33

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HELP ME PLEASE!!!!!!!!!!!
telo118 [61]

Answer:

\large\boxed{f(n)=2\cdot f(n-1)+1}

Step-by-step explanation:

f(1)=5\\\\f(2)=11=2\cdot5+1=2\cdoy f(1)+1\\\\f(3)=23=2\cdot11+1=2\cdot f(2)+1\\\\f(4)=47=2\cdot23+1=2\cdot f(3)+1\\\\f(5)=95=2\cdot47+1=2\cdot f(4)+1\\\vdots\\f(n)=2\cdot f(n-1)+1

5 0
3 years ago
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