Given:
The figure of a right triangle.
To find:
The length of AB.
Solution:
In a right angle triangle,
Using this trigonometric ratio for the given triangle, we get
Therefore, the length of AB is 5 units.
Compute successive differences of the terms.
If they are all the same, the sequence is arithmetic and the common difference is the difference you have found.
If successive pairs of differences have the same ratio, the sequence is geometric and the common ratio is the ratio you have determined.
Example of arithmetic sequence:
1, 3, 5, 7
Successive differences are 3-1 = 2, 5-3 = 2, 7-5 = 2. All the differences are 2, which is the common difference of the sequence.
Example of geometric sequence:
1, -3, 9, -27
Successive differences are -3-1 = -4, 9-(-3) = 12, -27-9 = -36. These are not the same, so the sequence is not arithmetic. Ratios of successive pairs of differences are 12/-4 = -3, -36/12 = -3. These are the same, so the sequence is geometric with common ratio -3.
7n-4=31
7n=31-4
7n=27
n=27/7
:n=3
It’s equation and it’s really easy to solve
Answer:
Infinitely many solutions.
Step-by-step explanation:
Multiply the second equation by -2, then add the equations together
(20x+2y=18)
−2(10x+y=9)
20x+2y=18
−20x−2y=−18
Add these equations to eliminate x
0=0
Infinitely many solutions.
