For the given geometric series the value of the common ratio(r) is 3, while the value of a₁ is 1.
<h3>What is geometric series?</h3>
A series of numbers whose any two consecutive numbers are always in a common ratio of that series.
Given to us
Series, 1 3 9 27 81
To find the value of the common ratio(r), we will simply find the ratio of any two consecutive numbers, therefore,
As we can see the common ratio of the given series is 3, therefore, every next number will be thrice the number before.
We need to find the value of a₁ for the given series, and as we know that a₁ is the first number of the series with which the series is starting, therefore,
a₁ = 1
Hence, for the given geometric series the value of the common ratio(r) is 3, while the value of a₁ is 1.
Learn More about Geometric Series:
brainly.com/question/14320920
Answer:
The answer is "183 yards"
Step-by-step explanation:
Using formula:
<em><u>ANSWER</u></em>
Let the width be y
2(L + W) = Perimeter
2(2y - 5cm + y) = 62cm
(2×2y) + (2×-5cm) + (2×y) = 62cm
4y + - 10cm + 2y = 62cm
4y - 10cm + 2y = 62cm
4y + 2y - 10cm = 62cm
6y - 10cm + 10cm = 62cm + 10cm
<u>6</u><u>y</u> = <u>7</u><u>2</u><u>c</u><u>m</u>
6 6
y = 12cm
<em><u>WIDTH</u></em>
= y
= 12cm
<em><u>LENGTH</u></em>
= 2y - 5cm
= 2×y - 5cm
= 2×12cm - 5cm
= 24cm - 5cm
= 19cm
<em><u>Providence</u></em>
19cm + 19cm + 12cm + 12cm = 62cm which is the perimeter
Answer:
t = 11 min
and
t = 18 min
Step-by-step explanation:
When we have unidimensional motion, the sign of the velocity defines the direction.
So we could say that a positive velocity like:
v = 4ft/min
Means that you are moving to the right with a speed of 4 feet per minute.
And a negative velocity like:
v = -3 ft/min
means that you are moving to the left with a speed of 3 feet per minute.
Then the bug changes direction when the velocity changes of sign.
In the graph, we can see that the velocity changes of sing in two points, these points are:
t = 11 min
and
t = 18 min
