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ra1l [238]
3 years ago
9

Find the indicated term of the geometric sequence. a8 for 4, -12, 36, ...

Mathematics
2 answers:
Alexeev081 [22]3 years ago
8 0

Answer:

The 8th term of geometric sequence is -8748

ie., a_{8}=-8748

Step-by-step explanation:

Given geometric sequence is 4,-12,36,...

Geometric sequence can be written as

a_{1},a_{2},a_{3},..,

a_{1}=4=a

a_{2}=-12=ar

a_{3}=36=ar^2

and so on.

common ratio is r=\frac{a_{2}}{a_{1}}

r=\frac{-12}{4}

r=-3

r=\frac{a_{3}}{a_{2}}

r=\frac{36}{-12}

r=-3

Therefore r=-3

Geometric sequence of nth term is a_{n}=ar^{n-1}

To find the 8th term:

a_{8}=ar^{8-1}

a_{8}=ar^{7}

here a=4 and r=-3

a_{8}=ar^{7}

=4\times (-3)^7

=4\times (-2187)

=-8748

a_{8}=-8748

Therefore the 8th term of geometric sequence is -8748

irina [24]3 years ago
5 0

Answer:

76

Step-by-step explanation:

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DerKrebs [107]

Answer:

a. \ (x-2)(x+i)(x-i)

Step-by-step explanation:

First of all let's notice that (x-i)(x-i)=(x-i)^2 = x^2+2xi-1 \in \mathbb{C} while our original polynomial is real. So we can rule out the even options B and D. At this point, if the polynomial has a factor of (x-\alpha) it means tha \alpha is a zero of the polynomial. Let's check both 2 (for option a) and -2 (for option c)

p(2)=2^3-2(2)^2+2-2= 8-8+2-2=0

p(-2)= (-2)^3-2(-2)^2+(-2)-2=-8-8-2-2=-20

At this point 2 is a zero, and our final factoring is a(x-2)(x+i)(x-i)

7 0
2 years ago
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liubo4ka [24]

Answer:

4(4x+1)=(3x-46-x)+8

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x=-3

5 0
3 years ago
Read 2 more answers
the vertex of this parabola is at (3,-2). When the x-vaue is 4, the y-value is 3. What is the coefficient of the squared express
bixtya [17]
<h3>Answer:   5</h3>

=========================================================

Explanation:

Vertex form is

y = a(x-h)^2 + k

We are told the vertex is (3,-2), so we know (h,k) = (3,-2)

y = a(x-h)^2 + k will update to y = a(x-3)^2 - 2

--------

Then we also know that (x,y) = (4,3) is a point on the parabola. Plug those x and y values into the equation and solve for 'a'

y = a(x-3)^2 - 2

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4 0
3 years ago
Answer this please alwhwksosjwnkwisn
kramer

Answer:

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Step-by-step explanation:

Let x = the measure of the fourth angle

Sum of all 4 interior angles in a quadrilateral equal 360°

so

x + 23.5° + 99° + 100.4° = 360°

x + 222.9° = 360°

              x = 360° - 222.9°

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3 0
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