The common difference of the sequence is -3 and the fifth term is 5
<h3>How to determine the common difference?</h3>
The sequence is given as:
17, 14, 11, 8....
The common difference is
d = T2 - T1
So, we have
d = 14 - 17
Evaluate
d = -3
Hence, the common difference of the sequence is -3
<h3>How to determine the
fifth term?</h3>
The fifth term is calculated as:
T5 = a + 4d
Where
a = T1 = 17
d = -3
So, we have:
T5 = 17 - 4 * 3
Evaluate
T5 = 5
Hence, the fifth term is 5
<h3>How to determine the
nth term?</h3>
The nth term is calculated as:
Tn = a + (n - 1)d
Hence, the nth term is Tn = a + (n - 1)d
Read more about arithmetic sequence at:
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Answer:
side of 6.124 ft and height of 3.674 ft
Step-by-step explanation:
Let's s be the side of the square base and h be the height of the rectangular box.
The base and the roof would have an area of
and cost of

The sides would have an area of 4sh and cost of 4sh*2.5 = 10sh
So the total cost for the material is



The volume of the shed has the following formula

To find the maximum value for V, we can take its first derivative, and set it to 0




h = 45/s - 0.6s = 3.674 ft
5B + B = 20
6B = 20
B = 20 / 6
= 10/ 3 hrs
A = 5 ( 10/3 + 2)
= 5 (16/3)
= 80 / 3 hrs
Brian traveled 10/3 hours and Annie traveled 80/3 hours.