Given:
and
where
.
To find:
The explicit formula for the given recursive formula.
Solution:
We know that recursive formula of an AP is:

Where, d is the common difference.
We have,

Here, d=9.
The first term of the AP is
.
The explicit formula for an AP is:

Substituting
and
, we get



Therefore, the required explicit formula for the given sequence is
.
Answer:
l = 16 cm
Step-by-step explanation:
Let's set the width of the rectangle as "w" and the length of the rectangle as "w/2 + 9".
The perimeter of a rectangle is calculated by adding up the value of all of its side lengths. Therefore, we can find the perimeter using 2l + 2w = P.
We can substitute 60 for P and w/2 + 9 for l.
- 2(w/2 + 9) + 2w = 60
- 2w/2 + 18 + 2w = 60
- w + 18 + 2w = 60
- 3w + 18 = 60
- 3w = 42
- w = 14
Substitute w = 14 into the equation for length l.
- l = w/2 + 9
- l = 14/2 + 9
- l = 16
The length of the rectangle is 16 cm.
Answer: x=4
Step-by-step explanation:
5x=15+5
15+5=20
5x=20
divide 5 on both sides
20/5=4
x=4
Answer: 10.6
Step-by-step explanation: it has a .3% increase each time, therefore it would be D. 10.6
Here is the correct order of the step:
Identify: Anna's time is the unknown
Strategize : let x = Anna's time
Set up : 7(40) = x(50)
Solve: x = 5.6
Check: 7(40) = 5.6(50)
<h3>What is Anna's time?</h3>
The first step is to determine the distance Allen travelled:
Distance = average speed x time
40 x 7 = 280 miles
The second step is to determine the time it took Anna to travel 280 miles.
Time = distance / average speed
280 / 50 = 5.6 hours
To learn more about average speed, please check: brainly.com/question/21734785
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