A recursive sequence is a sequence of numbers whose values are determined by the numbers that come before them in the sequence.
We’re given a sequence whose (n + 1)-th term f(n + 1) depends on the value of the n-th term f(n), specified by the recursive rule
f(n + 1) = -4 f(n) + 3
We’re also given the 1st term in the sequence, f(1) = 1. Using this value and the recursive rule, we can find the next term f(2). (Just replace n with 1.)
f(1 + 1) = -4 f(1) + 3
f(2) = -4 • 1 + 3
f(2) = -1
We do the same thing to find the next term f(3) :
f(2 + 1) = -4 f(2) + 3
f(3) = -4 • (-1) + 3
f(3) = 7
One more time to find the next term f(4) :
f(3 + 1) = -4 f(3) + 3
f(4) = -4 • 7 + 3
f(4) = -25
Answer:
tan(-π/3) = -1.732050808
Step-by-step explanation:
Given in the question, we have to find the value of tan(-pi/3) or it can be written as:
where x is the exact value of the given tangent.
However, in this question, one may get confused and put the value of π = 3.14, which is wrong. The value given is in radians, which is used to measure angles, just like degrees.
To make it easier, lets convert the radians into degrees. We know that
π = 180°
-π/3 = -180/3 = -60°
Find x:
x = tan (-60°)
x = -1.732050808
Answer:
31.177 m
Step-by-step explanation:
So the formula of a hexagon is Area = (3√3 s^2)/ 2
s = side in this problem. A hexagon is made up of 6 equilateral triangles, so the distance from the center is equal to each of the sides.
For this problem, plug and chug. Plug your knowns into equation and you will find the answer.
s^2 = (2√3)^2 = 12
Area = (3√3 x 12)/2 = 31.1769 m
I am not sure how many decimals you are supposed to round, probably 3 so in that case 31.177 m
The correct answer for the question that is being presented above is this one: "D. b² − 3b + 18 R252. T<span>he quotient of b^3+4b^2-3b+126/b+7. In order to get the answer, you have to start dividing b^3 by b. Then multiply the quotient to b + 7. Then after that, subtract. Do the same thing until you reached the end.</span>
Answer: either 5, 5, 14
First, we know the median is 5. Thus, the middle value of the data is 5, so the set can now be read x, 5, y. Then, because the mode is 5 and the set is not trimodal, either x or y must be 5. Thus, the set could either be 5, 5, 14, or
-4, 5, 5. However, because it must contain only positive number, the answer is 5, 5, 14
Hope it helps <3
