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White raven [17]
3 years ago
11

The following sequence is an arithmetic sequence. You are not shown very many terms of this sequence, but you are shown enough t

o fill in the missing number. What number goes in the blank? 7,_,17...
Mathematics
2 answers:
Olegator [25]3 years ago
7 0
12

since the difference of the first and third value is ten, each value is five more than the previous value
Orlov [11]3 years ago
5 0
Remark
Since it is an arithmetic sequence and the first and third terms are given to you, the second term may be found by taking the average of the first and third terms.

t2 = (t1 + t2)/2
t2 = (7 + 17)/2
t2 = 24/2 
t2 = 12 Answer <<<<<

See if that works
7 12 17 The first two terms differ by 5. 
The second two terms differ by 5 So for this sequence, that works. 

Will you be able to do this with any any arithmetic sequence?
___, ___, 12 ___ 18

At least for this one, yes. The answer is 15. The first two terms are 6 and 9. 
How should you do it?

Discussion (This is extra. You don't have to read it)

You should do it by defining the terms using the term formula
tn = a + (n - 1)d
t5 = a + 2*d = 18
<u>t3 = a + d = 12</u>
d = 6
a = 6 as well.
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25,5 minutes=25,5/60 hours=0,425 hours

3,75/0,425 miles/hour =8,8235≈8,82 miles/hour
3 0
3 years ago
Witch of the following could not represent the probability of an event
Alex17521 [72]
I think it's D. 7 times out of 34 times
6 0
3 years ago
Find the median mode range and any outliers. Then describe the data using them 77777,88,555,6,99,10101010,12
umka2103 [35]

Answer:

The median = 5

The mode  = 7

Range = 5

Outliers= None

Step-by-step explanation:

The median is the  value of the middle term.

The median is that value which divides the data into two equal halves.

7,7,7,7,7,8,8,5,5,5,6,9,9,10,10,10,10,12

There are 18 terms . So the middle term would be 9th term value= 5

The mode is the value which is repeated the most. = 7

Range is the difference between the highest and lowest value.= 12- 7= 5

The interquartile range, IQR= q3 - q1 where q3= 10 and q1= 7

IQR= 10 −7=3

The inner fences can be found out by

q1−(1.5*IQR) and q3+(1.5*IQR)

=7−(1.5*3) and 10+(1.5*3)

Inner fences: 2.5 and 14.5

The outer fences are q1−(3*IQR) and q3+(3*IQR)

=7−(3*3) and 10+(3*3)

Outer fences: -2 and 19

So if there are any outliers in this data set, they will either be less than -2 or greater than 19. But there are no outliers.

6 0
3 years ago
Would appreciate the help 24 points
andre [41]

Answer:

13) Rectangle

14) parallelogram

15) co ordinates areD (0,a) andE (c,b)

16) co ordinates are D(0,b) and E(a,0)

17)(-1,1) (4,1) (-1,4)

18)(0,0) (a,0) (a,a) (0,a)

Step-by-step explanation:

<h3>13)</h3><h3>Rectangle</h3>

The opposite sides of a rectangle are parallel and equal

left height = right height

(by using distance formula)

(0,3),(2,-2) = (5,5),(7,0)

√(2-0)²+(-2-3)² = √(7-5)²+(0-5)²

√(2)²+(-5)² = √(2)²+(-5)²

√4+25 = √(2)²+(-5)²

√29 = √29 hence equal

<h3>14)</h3><h3>parallelogram</h3>

The opposite sides of a rectangle are not equal

left height = right height

(by using distance formula)

(0,0),(3,-4) = (3,4),(7,0)

√(3-0)²+(-4-0)² = √(7-3)²+(0-4)²

√(3)²+(-4)² = √(5)²+(-4)²

√9+16 = √(25)+(16)

√(25) ≠√41

5 ≠ √41

<h3>15)</h3><h3>co ordinates are D(0,a) and E(c,b)</h3><h3>16)</h3><h3>co ordinates are D(0,b) and E(a,0) </h3>

since rhombus have equal opposite sides

<h3>17)</h3><h3>(-1,1) (4,1) (-1,4)</h3><h3>18)</h3><h3>(0,0) (a,0) (a,a) (0,a)</h3><h3 />

6 0
3 years ago
Can someone help idk if this is right
navik [9.2K]

Answer:

a_n=-3 \cdot a_{n-1}

a_1=2

You gave the explicit form.

Step-by-step explanation:

You gave the explicit form.

The recursive form is giving you a term in terms of previous terms of the sequence.

So the recursive form of a geometric sequence is a_n=r \cdot a_{n-1} and they also give a term of the sequence; like first term is such and such number. All this says is to get a term in the sequence you just multiply previous term by the common ratio.

r is the common ratio and can found by choosing a term and dividing by the term that is right before it.

So here r=-3 since all of these say that it does:

-54/18

18/-6

-6/2

If these quotients didn't match, then it wouldn't be geometric.

Anyways the recursive form for this geometric sequence is

a_n=-3 \cdot a_{n-1}

a_1=2

5 0
3 years ago
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