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qwelly [4]
3 years ago
6

Find an explicit rule for the nth term of the sequence.

Mathematics
2 answers:
REY [17]3 years ago
8 0

9514 1404 393

Answer:

  (a)  an = -4·2^(n-1)

Step-by-step explanation:

The form for the general term is ...

  an = a1·r^(n-1) . . . . . a1 is the first term; r is the common ratio

For a1=-4 and r=-8/-4 = 2, the rule will be ...

  an = -4·2^(n-1)

andrew-mc [135]3 years ago
5 0

Answer:

the answer is a

Step-by-step explanation:

:)))))))))

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A conservative estimate of the number of stars in the universe is 6 x 10^22. The average human can see about 3,000 stars at nigh
Ilia_Sergeevich [38]

2 \times 10^{19} times more stars are there in universe compared to human eye can see

<h3><u>Solution:</u></h3>

Given that, conservative estimate of the number of stars in the universe is 6 \times 10^{22}

The average human can see about 3,000 stars at night with only their eyes

To find: Number of times more stars are there in the universe, compared to the stars a human can see

Let "x" be the number of times more stars are there in the universe, compared to the stars a human can see

Then from given statement,

\text{Stars in universe} = x \times \text{ number of stars human can see}

<em><u>Substituting given values we get,</u></em>

6 \times 10^{22} = x \times 3000\\\\x = \frac{6 \times 10^{22}}{3000}\\\\x = \frac{6 \times 10^{22}}{3 \times 10^3}\\\\x = 2 \times 10^{22-3}\\\\x = 2 \times 10^{19}

Thus 2 \times 10^{19} times more stars are there in universe compared to human eye can see

5 0
3 years ago
I have to find the length of the angle indicated for the trapezoid
Stels [109]
That is not a trapezoid, it is a general quadrilateral.  All 2-dimensional, 4-sided figures have an internal angle sum of 360 (triangles are 180).  So if you assume angles P and Q are right, they are each equal to 90 degrees, for a total of 180.
Subtract: 360 - 180 = 180.  We know that S + R must equal 180.  If you subtract 180 - 65, you get 115, which is obtuse (greater than 90 degrees).  This matches the drawing as the unknown angle is clearly greater than 90.  So the answer is 115 degrees.
6 0
2 years ago
LaTesha and Bernard are playing a game. Their scores for five games are shown in the table below. LaTesha’s and Bernard’s Scores
andre [41]

Answer:

The means differ by 1, but the ranges differ by 40.

Step-by-step explanation:

The mean for LaTesha's score is (92+45+67+36+80)/5= 64

The mean for Benards score is (63+68+62+69+53)/5= 63

The range for LaTeshas score is 92-36=56

The range for Benards score is 69-53=16

So, 64-63=1     and        56-16= 40

6 0
3 years ago
Is (x-1) a factor of 2x3 - 15x2 + 22x + 15
Advocard [28]

Answer:

Step-by-step explanation:

If x - 1 is a factor of the cubic, then 1 should result in 0 when you put it in the cubic for x. Does it?

f(1) = 2(1)^3 - 15(1)^2 + 22(1) + 15

f(1) = 2 - 15 + 22 + 15

f(1)= 24.

No the result is not zero. So x - 1 is not a factor.

However there must be something that makes this cubic go to zero. The easiest way to find it is to graph it.

The numbers that do make this zero are -0.5, 3, 5

Which mean that the factors are (2x+1)(x-3)(x - 5)

6 0
3 years ago
Which situation can be represented by 3s = 5s - 6 ?
grin007 [14]

Answer:

First one

Step-by-step explanation:

3s=5s-6

8 0
3 years ago
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