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HACTEHA [7]
3 years ago
8

The first term of a sequence is 1 and every term after the first one is 1 more than the square of the preceding term. What is th

e fifth term?
Mathematics
1 answer:
Readme [11.4K]3 years ago
6 0

Answer:

677

Step-by-step explanation:

the sequence is 1, 2, 5, 26, 677

the first term is 1

to find the 2nd term, do: 1^{2} +1=2

3rd: 2^{2} +1=4+1=5

4th: 5^{2} +1 =25 +1=26

5th: 26^{2} +1=676+1=677

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If cba represents three numbers multiplied together, what property allows you to rearrange the factors to read abc?
QveST [7]
Commutative property of multiplication states that u can " commute " , move around the numbers and get the same result.
Example : 1 * 2 * 3 = 3 * 2 * 1...they still equal no matter what order u put them in.

so cba = abc by commutative property of multiplication
6 0
3 years ago
Bobby decided to watch all of the movies in his
disa [49]

Answer: C. y = 10x + 15

Step-by-step explanation:

He has already watched 15 movies so that's plus 15

And now he wants to watch 10 movies per week, we don't know how many weeks so that's '<em>x</em>' in this equation.

If he watches movies for <em>x </em>weeks that's 10 times <em>x </em>which is the 10x in the equation.

Hope that helped!

4 0
2 years ago
Guys I really need help or I have to stay late up night
Sonja [21]
The population after 8 min is 1200 sorry that's only one I got time for. I think it should right though.
4 0
3 years ago
If A(2;2) and B(-3;4), determine the equation of AB, in the form y=mx+c​
NARA [144]

Answer:

y = -\frac{2}{5}x + \frac{14}{5}

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

y = mx + c

In which m is the slope and c is the y-intercept(value of y when x = 0).

A(2;2) and B(-3;4)

When we have two points, the slope is the change in y divided by the change in x. So

Change in y: 4 - 2 = 2

Change in x: -3 - 2 = -5

Slope: m = \frac{2}{-5} = -\frac{2}{5}

So

y = -\frac{2}{5}x + c

A(2;2)

When x = 2, y = 2. We use this to find c.

y = -\frac{2}{5}x + c

2 = -\frac{2}{5}(2) + c

c = 2 + \frac{4}{5} = \frac{10}{5} + \frac{4}{5} = \frac{14}{5}

So

y = -\frac{2}{5}x + \frac{14}{5}

7 0
3 years ago
If sin theta = (sqrt 3)/2, which could not be the value of theta? A. 60 degrees B. 120 degrees C. 240 degrees D. 420 degrees I k
sineoko [7]
Your are right, \pi /3 and 2\pi /3 are solutions.
Of course each of these solutions can be replaced by the same number +k2\pi (with k being an element of Z) since sin x=sin (x+k2\pi) with k being an element of Z. 
Those are angle measures expressed in radians.
If you translate in degrees you basically have to know that  \pi radian=180 degrees
so \pi /3 radian=60 degrees and 2\pi /3=120 degrees. So this two could be values of theta (A and B).
On top of that \pi /3+2 \pi could also be a solution (x+k2\pi with k=1). This can be translated to 60+360=420 degrees which is solution D.
So C. 240 degrees is the only one that could not be a value of theta.
6 0
3 years ago
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