Plug in n = 1 into the nth term formula
a(n) = 4n-1
a(1) = 4*1-1
a(1) = 3
So the first term is 3
The second term will be 7 because we add on 4 each time, as indicated by the slope of 4. This is also known as the common difference.
So the nth term is found by adding 4 to the (n-1)st term, in other words,
a(n) = a(n-1)+4
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In summary, the answer is
a1=3; an=an-1+4
which is choice B
The period is equal to 2pi/n, where n is the coefficient of t. In this case pi/2. Therefore the period in this example is 4. Frequency is equal to 1/period. Hence the frequency for this problem is 1/4
YES the ordered pair can satisfy the eqaution
The measure of <ABD, <DBC and <ABC are 67, 67 and 134 degrees respectively.
<h3>Bisection of angles</h3>
Angles are bisected if they are divided into two equal parts.
If the angle BC bisects <ABC, hence <ABD and <DBC are equal, hence;
2(11x + 23) = <ABC
Given the following parameters
<ABC = 25x + 34
2(11x + 23) = 25x + 34
Expand
22x +46 = 25x + 34
22x-25x = 34 - 46
-3x = -12
x = 4
Determine the measure of the angles
<ABD = 11x + 23 = <DBC
<ABD = 11(4) + 23
<ABD = 44 + 23
<ABD = 67 degrees
<ABC = 2(67)
<ABC = 134 degrees
Hence the measure of <ABD, <DBC and <ABC are 67, 67 and 134 degrees respectively.
Learn more on bisection of angles here: brainly.com/question/25770607
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Answer:
Perimeter = 34ft Area = 72ft squared
Step-by-step explanation:
The perimeter of an object is all of it's sides combined. Because you stated two values, I assumed your shape is a rectangle. So the perimeter would be:
8 + 8 + 9 + 9 = 34
The area is length times width, so:
8 x 9 = 72
Because it is area, the units are squared.
