To describe a specific arithmetic sequence, Elijah wrote the recursive formula:
1 answer:
Answer:
, where, n = 0, 1, 2, 3, 4, .........
Step-by-step explanation:
Given the arithmetic sequence in recursive formula.
f(0) = 30 and f(n + 1) = f(n) + 7 ......... (1)
Therefore, putting n = 0 in equation (1) we get f(1) = f(0) + 7 = 30 + 7 = 37 {Since, f(0) is given to be 30}
Again, putting n = 1 in equation (1) we get f(2) = f(1) + 7 = 37 + 7 = 44
And, putting n = 2 in equation (1) we get f(3) = f(2) + 7 = 44 + 7 = 51
and so on.
Therefore, the arithmetic sequence is 30, 37, 44, 51, .......
Therefore, the linear equation of this sequence is given by , where, n = 0, 1, 2, 3, 4, .........
(Answer)
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Answer:
Area = 36
Step-by-step explanation:
There must be an error with the statement, because it is strange that the length of the frame is equal to its thickness.
Assuming that the data supplied is correct, we can do the following procedure.
Let's call L the length of the frame.
We know how much each side of the square measures.
L = 3 inches
We also know that the thickness (s) is:
s = 3 inches.
Then the area of the frame is equal to:
Area = Perimeter * thickness
Area = 4L*s
Area = 3*4*3
Area = 36
According to the rule of angles and parallel lines, we can say that ∠NKM and ∠KML are equal because they are alternate angles. Since MP is a bisector, ∠KMP = ∠LMP = 1/2∠NKM = 29°. We know that ∠MKL = 90°-∠NKM = 32°. According to the sum of all angles of the triangle, ∠KPM = 180-(32+29) = 119°.
