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3 years ago

What is the value of r of the geometric series?

Mathematics

2 answers:

Phantasy [73]3 years ago

4 0

Answer:

Step-by-step explanation:

Given the formula for the geometric series expressed as;

$\sum \left \{ {3} \atop {1}} \right 1.3(0.8)^{n-1}$

The nth term of a geometric progression is expressed as;

$T_n = ar^{n-1}\\$

a is the first term

r is the common ratio

Comparing both equations;

$0.8^{n-1} = r^{n-1}\\Cancel \ the \ powers\\0.8 = r\\r = 0.8\\$

Hence the value of r of the geometric series is 0.8

ser-zykov [4K]3 years ago

3 0

Answer:

Step-by-step explanation:

Just took test

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3/4 (0.75) divided by 2 = 0.375 or 3/8

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3 years ago

Use the graph to determine the domain and range of the function

navik [9.2K]

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Domain (-4,6)

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Step-by-step explanation:

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3 years ago

Enter the equation of the circle with the given center and radius. Center: (−2, −5); radius= 1

statuscvo [17]

Answer:

$(x + 2)^2 + (y + 5)^2 = 1$

Step-by-step explanation:

Equation of a circle:

The equation of a circle with center $(x_0,y_0)$ and radius r is given by:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

Center: (−2, −5); radius= 1

This means that $x_0 = -2, y_0 = -5, r = 1$ . So

$(x - x_0)^2 + (y - y_0)^2 = r^2$

$(x - (-2))^2 + (y - (-5))^2 = 1^2$

$(x + 2)^2 + (y + 5)^2 = 1$

This is the equation of the circle.

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3 years ago

Question in the picture, please give the answer and how you got it

Sergeeva-Olga [200]

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<u>Step-by-step explanation:</u>

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3 years ago

One number is larger than another by 9. If the greater number is increased by 10, and the lesser number is tripled, the sum of t

kkurt [141]

Answer:

The larger number is -6, the smaller number is -15

Step-by-step explanation:

We have two numbers, a and b.

We know that one number is larger than another by 9.

Then we can write:

a = b + 9

then a is larger than b by 9 units.

If the greater number is increased by 10 (a + 10) and the lesser number is tripled (3*b), the sum of the two would be -41:

(a + 10) + 3*b = -41

So we got two equations:

a = b + 9

(a + 10) + 3*b = -41

This is a system of equations.

One way to solve this is first isolate one variable in one of the two equations:

But we can see that the variable "a" is already isolated in the first equation, so we have:

a = b + 9

now we can replace that in the other equation:

(a + 10) + 3*b = -41

(b + 9) + 10 + 3*b = -41

now we can solve this for b.

9 + b + 10 + 3b = -41

(9 + 10) + (3b + b) = -41

19 + 4b = -41

4b = -41 -19 = -60

b = -60/4 = -15

b = -15

then:

a = b + 9

a = -15 + 9 = -6

a = -6

7 0

3 years ago