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Vesna [10]
3 years ago
11

Here are the first five terms of a sequence.

Mathematics
1 answer:
Levart [38]3 years ago
8 0

Answer:

So the formula for the sequence is

Second term =first term + (a+nd)

Third term = second term + (a+nd)

And so on

Where n start with zero

Step-by-step explanation:

3 8 17 30 47

First term = 3

Second term = 8

Third term = 17

Fourth term = 30

Fifth term = 47

Second term - first term = 8-3=5

Third term - second term = 17-8= 9

Fourth term - third term = 30-17=13

Fifth term - fourth term = 47-30=17

So the AP is 5 9 13 17

We find out that the common difference is 9-5 = 4

The formula for nth term of the AP is

= a + nd

So the formula fir the sequence is

Second term =first term + (a+nd)

Third term = second term + (a+nd)

And so on

Where n start with zero

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This is a 30-60-90 triangle.<br> a<br> What is the measure of x?<br> Х<br> 43<br> X=<br> = [ ?
kherson [118]

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day!

We can solve this problem in two steps; solving and theory.

I'll go and start off with the theory part!

Theory

We know that in geometry there are many types of triangles that have various different angles. With that, there are a few special triangles that people have made formulas for, one being a 30, 60, and 90 degree triangle.

The theorem states that the hypotenuse is 2x, the side opposite to 60 degrees is x\sqrt{3}, and the bottom is x.

Solving

We can solve this problem in a step, we just need to know what the theorem said and implement it here, since we know the values of the sides of the triangle, we can solve it by finding out the opposite side and applying the theorem rules.

If we look at the graph, we can see that the x part of the side opp. of 60 degrees is 4, that means that x would be double of 4, which is 8.

Therefore your answer would be: x=8

Cheers!

8 0
2 years ago
How many passwords of 5 characters (numbers or letters) can be created if repeats are allowed
alex41 [277]

Answer:

at least 290,000

Step-by-step explanation:

Why is this a question

4 0
3 years ago
Find an expression for the nth term of the arithmetic sequence.<br><br> 2, 8, 14, 20, 26, . . .
IceJOKER [234]

Answer:

44

Step-by-step explanation:

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8 0
2 years ago
Consider the roots of a cubic equation with integral coefficients: −1, −4, and 3. Which choice is a factor of the cubic equation
mash [69]

Answer:

D

Step-by-step explanation:

Lets go case by case.

Given the roots, a factor will be part of the equation if for some of the roots the factor becomes null, i.e., equal to 0.

Is there any root that makes (x+3)=0? No, as it only becomes 0 for x = - 3 and -3 is not a root. So A NO!

Is there a root that makes (x-1)=0? No, as it only becomes 0 for x=1 and 1 is not a root. So B NO!

(x-4)=0 only for x=4, and as 4 is not a root, C NO!

The last, (x-3)=0 if x=3. As 3 is one of the roots, (x-3) is a factor of our equation!

D is the only correct option!

5 0
3 years ago
What is equivalent to 3 to the negative 2nd power
VladimirAG [237]
3 to the negative second power is written like this: 3^{-2}. 

When simplifying an expression with a negative exponent, you take a positive version of the exponent, in this case that would be 2, and apply that to the base. 
After doing that, we have 9. 
The next step is to put one over that number.
In this case, now after doing that the answer is \frac{1}{9}. 

Hope this helps!
6 0
3 years ago
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