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3 years ago

A geometric sequence has these terms: a

Mathematics

1 answer:

Semmy [17]3 years ago

4 0

Good evening ,

Answer:

An = 8×(5/2)ⁿ⁻¹

Step-by-step explanation:

An = A1 × qⁿ⁻¹

A1=8 and q = 20/8 = 5/2

then An = 8×(5/2)ⁿ⁻¹.

You might be interested in

find the root(s) of f (x) = (x + 5)3(x - 9)2(x + 1). 50 POINTS!!!!!!! -5 with multiplicity 3 5 with multiplicity 3 -9 with multi

Dmitrij [34]

Answer:

The answer to this question can be described as follows:

-5 with multiplicity 3

9 with multiplicity 2

-1 with multiplicity 1

Step-by-step explanation:

Given:

$\Rightarrow f (x) = (x + 5)^3(x - 9)^2(x + 1)$

Solve the above equation:

$\Rightarrow f (x) = (x + 5)(x + 5)(x + 5)(x - 9)(x - 9)(x + 1)\\$

The roots of the polynomial are as follows:

$\Rightarrow (x-x_1)(x-x_2)(x-x_3)......(x-x_n)\\\\\Rightarrow x_1,x_2,x_3.........x_n$

That's why the roots are:

5 with multiplicity 3

9 with multiplicity 2

-1 with multiplicity 1

8 0

3 years ago

Read 2 more answers

Find the are of this compound shape below *

Alexandra [31]

Answer:

52 cm²

Step-by-step explanation:

First, we find the area of the bottom rectangle. We see it's 4 high and 10 wide, so 4x10 is 40. Then, we see that the small figure in the top right has a height of 4 and width of 3, so 4x3 = 12, add those and you get 52.

7 0

3 years ago

150 less than k is 39

d1i1m1o1n [39]

Answer:

your answer is 121

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A garden supply store sells two types of lawn mowers. Total ales of mowers for the year were $8379.70. The total number of mower

Anestetic [448]

Answer:

The number of small mowers are 19 and the large mowers are 11.

Step-by-step explanation:

Given:

A garden supply store sells two types of lawn mowers. Total sales of mowers for the year were $8379.70. The total number of mowers sold the 30. The small mower cost $249.99 and the large mower costs $329.99.

Now, to find the number of each type of mower sold.

Let the number of small mower be $x.$

And the number of large mower be $y.$

So, total number of mowers are:

$x+y=30$

$x=30-y\ \ \ ....(1)$

Now, the total sales of mowers are:

$249.99(x)+329.99(y)=8379.70$

Substituting the value of $x$ from equation (1) we get:

$249.99(30-y)+329.99y=8379.70$

$7499.7-249.99y+329.99y=8379.70$

$7499.7+80y=8379.70$

<em>Subtracting both sides by 7499.7 we get:</em>

$80y=880$

<em>Dividing both sides by 80 we get:</em>

$y=11.$

The number of large mower = 11.

Now, to get the number of small mowers we substitute the value of $y$ in equation ( 1 ):

$x=30-y\\x=30-11\\x=19.$

The number of small mower = 19.

Therefore, the number of small mowers are 19 and the large mowers are 11.

6 0

3 years ago

What compound inequality describes this graph

nadezda [96]

Answer:

0≥x<4

Step-by-step explanation:

first, let's look at this number line.

there is a closed circle at 0 and an open circle at 4. this means that 0 is included (≤ or ≥) and that 4 is not included (< or >).

these are the endpoints, meaning that in this compound inequality, the numbers next to the symbols are 0 and 4.

x is in the middle of this compound inequality.

0 x 4

now, we have to figure out the symbols in between. i wrote out our choices above for each number. the highlighted portion is greater than or equal to 0 and less than 4, so we can write this compound inequality as the following:

0≥x<4

x is greater than or equal to 0, but less than 4

4 0

4 years ago