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statuscvo [17]
3 years ago
8

What is the common difference in the arithmetic sequence -3, -1, 1, 3, ...?

Mathematics
1 answer:
blagie [28]3 years ago
7 0

Answer:

2

Step-by-step explanation:

The common difference in an arithmetic sequence is the difference between any two terms

So, you could start by doing -3 + d = -1

-3 + d = -1

-3 + d +3 = -1 +3

d = 3 -1

d = 2

Now test it with other terms

-1 + d = 1

Substitute

-1 +2 = 1

2 -1 = 1

1 = 1

It works!!!

If you want you can try it with 1 and 3

1 + d = 3

1 + 2 = 3

3 = 3

I hope this helps!!!!

You might be interested in
Are the these expressions equivalent 6a + 12 and 3(3a + 4)
kow [346]

Answer:

No

Step-by-step explanation:

6a + 12  =? 3(3a + 4)

Distribute

6a+12 =? 3*3a + 3*4

6a+12 =? 9a +12

No

The expressions are not equivalent

5 0
3 years ago
Read 2 more answers
More math help please im lazy ._.
FinnZ [79.3K]

there are no real square roots of 25,36

3 0
3 years ago
The base of the pyramid is a square what is the surface area if the pyramids height is 4 feet in the area of the base is 36 ft.?
KATRIN_1 [288]

Answer:

96 ft²

Step-by-step explanation:

The general formula for the surface area of a pyramid is:  

SA = \frac{1}{2}pl + B, were p = the perimeter of the base, l = the slant height and B = the area of the base

Since the area of the base is 36 ft², then each side is √36, or 6 ft. The perimeter is the sum of all the sides, so 6 x 4 = 24 ft.

Given the overall height of the pyramid is 4 feet, you can use the Pythagorean Theorem (a² + b² = c²) to find the slant height (hypotenuse) of the pyramid.  Using 3 feet for 'a' and 4 feet for 'b':

3² + 4² = c² or 9 + 16 = 25

25 = c² or c = 5

SA =  \frac{1}{2}(24)(5) + 36

SA = 60 + 36 = 96 ft²

8 0
3 years ago
A fluid moves through a tube of length 1 meter and radius r=0.006±0.00025 meters under a pressure p=4⋅105±2000 pascals, at a rat
iris [78.8K]

Answer:

Maximum error for viscosity is 17.14%

Step-by-step explanation:

We know that everything is changing with respect to the time, "r" is changing with respect to the time, and also "p" just "v" will not change with the time according to the information given, so we can find the implicit derivative with respect to the time, and since

n = (\frac{\pi}{8}) (\frac{pr^4}{v})\\

The implicit derivative with respect to the time would be

\frac{dn}{dt}  = \frac{\pi}{8} ( \frac{r^4}{v} \frac{dp}{dt}  + \frac{4pr^3}{v}\frac{dr}{dt} )

If we multiply everything by    dt   we get  

dn  = \frac{\pi}{8} ( \frac{r^4}{v} dp  + \frac{4pr^3}{v}  dr})

Remember that  the error is given by   \frac{dn}{n}   therefore doing some algebra we get that

\frac{dn}{n}  =    4 \frac{dr}{r}  +  \frac{dp}{p}

Since,    r = 0.006   ,   dr = 0.00025 ,  p = 4*105   ,   dp = 2000  we get that

\frac{dn}{n} = 0.1714

Which means that  the maximum error for viscosity is 17.14%.  

5 0
2 years ago
What is 8.478 in expanded form?
nataly862011 [7]
<span>8+0.4+0.07+0.008 you basically separate the numbers starting with the largest working down to the smallest.

i hope i helped

</span>
7 0
3 years ago
Read 2 more answers
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