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Paraphin [41]
3 years ago
14

Which sequences are arithmetic? Check all that apply.

Mathematics
2 answers:
oksian1 [2.3K]3 years ago
7 0

Answer:

c, and e

Step-by-step explanation:

spin [16.1K]3 years ago
6 0

Answer:

3)    18, 5.5, –7, –19.5, –32, …   sequence is in Arithmetic Progression.

5)     16, 32, 48, 64, 80         sequence is in Arithmetic Progression.

Step-by-step explanation:

If, a, b, c ,k, e ... is a given sequence.

Then the above sequence is in AP if b - a   =  c - b = k - c = ...

or, each term has same COMMON DIFFERENCE (d).

Here, take each sequence and check for the value of d.

1) –5, 5, –5, 5, –5, …

Here, 5 - (-5)  = 10,   -5 - 5  = -10

and 10 ≠ -10.  So the sequence is NOT in Arithmetic Progression.

2)96, 48, 24, 12, 6

Here, 48 - 96  = -48,   24 - 48  = -24

and -48 ≠ -24.  So the sequence is NOT in Arithmetic Progression.

3)18, 5.5, –7, –19.5, –32, …

Here, 5.5 - 18 = -12.5    ,  -7 - 5.5 = -12.5  ..

and -12.5 is the common difference.  

So the sequence is in Arithmetic Progression.

4)–1, –3, –9, –27, –81, …

Here, -3-(-1)  =  - 2     -9 - (-3)  = -6

and -2 ≠ -6.  So the sequence is NOT in Arithmetic Progression.

5)16, 32, 48, 64, 80

Here, 32 - 16 = 16    ,  48  - 32= 16  ..

and 16 is the common difference.  

So the sequence is in Arithmetic Progression.

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In the length of each leg of an isosceles triangle is 13 and the base is 24, the length of the altitude to the base is
Likurg_2 [28]

Answer:

<h2>altitude = 5</h2>

Step-by-step explanation:

Look at the picture.

Use the Pythagorean theorem:

a^2+12^2=13^2

a^2+144=169               <em>subtract 144 from both sides</em>

a^2=25\to a=\sqrt{25}\\\\a=5

6 0
2 years ago
Whitney works at an aquarium. She uses hoses of different sizes to fill the fish tanks. Hose A takes 16 min to fill a 160-gal ta
scZoUnD [109]

Answer:

Hose A fills at a rate of 10 gal per min

Hose B fills at a rate of 8 gal per min

Hose B fills at a faster rate

Step-by-step explanation:

7 0
2 years ago
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In the sequence 400, 200, 150, 75, 25...... what number comes next
Scorpion4ik [409]

Answer:

The next term in the sequence = -175

Step-by-step explanation:

Here, the given sequence is : 400, 200, 150, 75, 25...

Now here, in the given sequence,

First Term - Second Term = 400 - 200 = 200

Second Term -   Third Term   =  200  - 150  = 50

Third term  - Fourth Term  = 150 - 75   = 75

Fourth term - Fifth term = 75 - 25 =  50

So, following this pattern,

Fifth Term - Sixth term = 200

Or, 25 - Sixth Term = 200

or, Sixth term  =  25 - 200  = - 175

Hence, the next term in the sequence = -175

4 0
3 years ago
D
kirza4 [7]

Answer:

12+k/5

Quotient is a quantity produced by the division of two numbers.

8 0
3 years ago
When 4(0.5x+2.5y-0.7x-1.3y+4) is simplified, what is the resulting expression?
padilas [110]

Answer:

-0.8x + 4.8y + 16

Step-by-step explanation:

4(0.5x+2.5y-0.7x-1.3y+4) = 4( 0.5x - 0.7x  + 2.5y - 1.3y + 4)

= 4( -0.2x  + 1.2y + 4)

= 4*(-0.2x)  + 4 *1.2y + 4*4

= -0.8x + 4.8y + 16

8 0
2 years ago
Read 2 more answers
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