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belka [17]
3 years ago
6

Find the first six terms of the sequence.

Mathematics
1 answer:
Levart [38]3 years ago
3 0
A(n) = a1 * r^(n-1)
a1 = first term = -8
r = common ratio = 5

a(2) = -8 * 5^(2-1)
a(2) = -8 * 5^1
a(2) = -40

a(3) = -8 * 5^(3 - 1)
a(3) = -8 * 5^2
a(3) = -8 * 25
a(3) = -200

a(4) = -8 * 5^(4 - 1)
a(4) = -8 * 5^3
a(4) = -8 * 125
a(4) = -1000

a(5) = -8 * 5^(5 - 1)
a(5) = -8 * 5^4
a(5) = -8 * 625
a(5) = -5000

a(6) = -8 * 5^(6-1)
a(6) = -8 * 5^5
a(6) = -8 * 3125
a(6) = -25,000

the first 6 terms are : -8, -40, -200, -1000,  -5000, -25,000
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Answer:

yes

Step-by-step explanation:

x+7>x+3

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4 years ago
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3 years ago
For the rational function f(x)=5−xx2+5x+6, find the points on the graph at the function value f(x)=3.
Anit [1.1K]

Given:

The rational function is:

f(x)=\dfrac{5-x}{x^2+5x+6}

To find:

The points on the graph at the function value f(x)=3.

Solution:

We have,

f(x)=\dfrac{5-x}{x^2+5x+6}

Substituting f(x)=3, we get

3=\dfrac{5-x}{x^2+5x+6}

3(x^2+5x+6)=5-x

3x^2+15x+18=5-x

Moving all the terms on one side, we get

3x^2+15x+18-5+x=0

3x^2+16x+13=0

Splitting the middle term, we get

3x^2+3x+13x+13=0

3x(x+1)+13(x+1)=0

(3x+13)(x+1)=0

Using zero product property, we get

(3x+13)=0\text{ or }(x+1)=0

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Therefore, the required values are -\dfrac{13}{3},-1.

7 0
3 years ago
Please solve all questions
fredd [130]

Answer:

1)x=-6,y=1 2)a=0,b=-8 3)j=8,k=1 4)m=3,n=-6

Step-by-step explanation:

1)x-4y=-10,2x+y=-11

x-4y=-10

x=4y-10

2\left(4y-10\right)+y=-11

8y-20+y=-11

9y-20=-11

9y=9

y=1

x=4-10

x=-6

x=-6,y=1

2)a-3b=24,a+2b=-16

a-3b=24

a=3b+24

3b+24+2b=-16

5b+24=-16

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b=-8

a=3\left(-8\right)+24

a=-24+24

a=0

a=0,b=-8

3)k-j=-7

4j-5k=27,-j+k=-7

4j-5k=27

4j=5k+27

j=\frac{1}{4}\left(5k+27\right)

j=\frac{5}{4}k+\frac{27}{4}

-\left(\frac{5}{4}k+\frac{27}{4}\right)+k=-7

-\frac{1}{4}k-\frac{27}{4}=-7

-\frac{1}{4}k=-\frac{1}{4}

k=1

j=\frac{5+27}{4}

j=8

j=8,k=1

4)m+n=-3,m-4n=27

m+n=-3

m=-n-3

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n=-6

m=-\left(-6\right)-3

m=6-3

m=3

m=3,n=-6

3 0
3 years ago
What is the lcm of 8,12,3
kramer

Answer: 24

Step-by-step explanation:

Lowest common multiple means the lowest number that can be divisible by 8,12,3

Looking at this, let's pick 8&3 first

8×3=24

12×3=36

12×8=96

Looking at this value,24 seems to be the lowest,

Therefore the lowest common multiple is 24

5 0
4 years ago
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