Answer:
A. 346.19 square feet.
Step-by-step explanation:
We have been given that a contractor has been hired to install flooring for a bandstand in the shape of a circle that is 21 feet across.
To find the square feet of flooring required, we will find area of circle.
Since the length across the circle is 21 feet, so radius of circle will be half of 21 feet.
Therefore, 346.19 square feet of flooring will be required.
Find the next two terms in the given sequence, then write it in recursive form. A.) {7,12,17,22,27,...} B.) { 3,7,15,31,63,...}
iren [92.7K]
Answer:
A) a_n = 5n + 2
B) a_n = (2^(n + 1)) - 1
Step-by-step explanation:
A) The sequence is given as;
{7,12,17,22,27,...}
The differences are:
5,5,5,5.
This is an arithmetic sequence following the formula;
a_n = a_1 + (n - 1)d
d is 5
Thus;
a_n = a_1 + (n - 1)5
Now, a_1 = 7. Thus;
a_n = 7 + 5n - 5
a_n = 5n + 2
B) The sequence is given as;
{ 3,7,15,31,63,...}
Now, let's write out the differences of this sequence:
Differences are:
4, 8, 16, 32
This shows that it is a geometric sequence with a common ratio of 2.
In the given sequence, a_1 = 3 and a_2 = 7 and a_3 = 15
Thus, a_2 = 2a_1 + 1
Also, a_(2 + 1) = 2a_2 + 1
Combining both equations, we can deduce that: a_(n + 1) = 2a_n + 1
Thus; a_n can be expressed as:
a_n = (2^(n + 1)) - 1
Answer:
first box:6
second box: 1
Step-by-step explanation:
divide bothe 18b and 3y by 3 and you get those values.
In order to see the probaability of this we need to do an easy calculation here:
If X<span> is the price for the policy, then we proceed like this:
</span>0.982x = 0.0275*<span>31,000
</span><span>
x = 0.0275*</span><span>31,000</span><span>/0.982
Minimum ammount he can expect to pay = $868.12 </span>
A) there are 26 possible outcomes
B) 5/26 chances of picking a vowel
C) 21/26 chances of picking a consonant
