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tensa zangetsu [6.8K]
3 years ago
7

Solve by unfolding: a0=2, and, n>=1, a_n=7a_n-1.

Mathematics
1 answer:
vodomira [7]3 years ago
6 0
We are told that the first term is 2.  The next term is 7(2) = 14; the third term is 7(14) = 98.  And so on.  So, the first term and the common ratio (7) are known.

The nth term of this geometric series is a_n = 2(7)^(n-1).

Check:  What is the first term?  We expect it is 2.  2(7)^(1-1) = 2(1) = 2.  Correct.

What is the third term?  We expect it is 98.  2(7)^(3-1) = 2(7)^2 = 98.  Right.<span />
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Negative plus positive=?
grin007 [14]
If you are adding a positive number to negative number. You are just bringing the negative number closer to zero, if not above zero.
Examples:
-1+1=0
-2+1=-1
-3+1=-2
-4+1=-3
7 0
3 years ago
20 POINTS AND BRAINLIEST !! PLEASE ANSWER THIS QUESTION !!
Elenna [48]
A
(X-7)(x-4) -> x^2 -11x + 28
Multiply that by the 2 and you get the original equation!
5 0
4 years ago
How do you do this one?
tankabanditka [31]

Your answer is correct... i^2=-1, so

(3+i)(i^2+8i-2)=(3+i)(-3+8i)

Then distributing 3+i to both terms on the right gives

(3+i)(-3)+(3+i)(8i)=(-9-3i)+(24i+8i^2)=-9-3i+24i-8=-17+21i

7 0
4 years ago
.
oksian1 [2.3K]

Answer:

t= 6\ s

Step-by-step explanation:

We know that the equation that models the height of the ball as a function of time is h(t) = -16t ^ 2 + 80t + 96.

Where the initial speed is 80 feet.

When the ball lands on the ground, its height will be h(t) = 0.

So to know how long it will take the ball to reach the ground, equal h (t) to zero and solve for t.

-16t ^ 2 + 80t + 96 = 0

To solve this quadratic equation we use the quadratic formula.

For an equation of the form:

at^2 +bt +c

The quadratic formula is:

t=\frac{-b\±\sqrt{b^2 -4ac}}{2a}

In this case

a =-16\\b = 80\\c =96

Then

t=\frac{-80\±\sqrt{80^2 -4(-16)(96)}}{2(-16)}

t_1=-1\\\\t_2=6

We take the positive solution

t= 6\ s

7 0
3 years ago
Read 2 more answers
ms rodriguez has 24 students in her class room. 10 of the students are boys. Jeff claims that the ratio of boys to girls must be
nignag [31]

Answer:

The answer instead is 10:14.

Step-by-step explanation:

In this case, there are ten boys and fourteen girls in this class. The ration would then be 10:14. Instead, Jeff said 5:12 which isn't correct. He can correct it by using the number of boys given, find the difference of girls in a class of twenty-four students, and then get his answer!

8 0
2 years ago
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