Answer:
5, 9, 13, 17, 21, .....
Step-by-step explanation:
To generate the sequence, substitute n = 1, 2, 3, 4, ..... into the rule
a₁ = 4(1) + 1 = 4 + 1 = 5
a₂ = 4(2) + 1 = 8 + 1 = 9
a₃ = 4(3) + 1 = 12 + 1 = 13
a₄ = 4(4) + 1 = 16 + 1 = 17
a₅ = 4(5) + 1 = 20 + 1 = 21
Answer:
34 Step-by-step explanation:
Answer: A. X= -5, Y= 3, Z= 4
Step-by-step explanation:
It is 3y because of the calculation being equivalent
We turn -5,12 into polar coordinates. It's a Pythagorean Triple so
r = 13 Ф=arctan(-12/5) + 180° ( in the second quadrant )
so -5 = 13 cos Ф, 12 = 13 sin Ф
12 sin x - 5 cos x = 6.5
13 sinФ sin x + 13 cos Ф cos x = 6.5
13 cos(x - Ф) = 6.5
cos(x - Ф) = 1/2
cos(x - Ф) = cos 60°
x - Ф = ± 60° + 360° k integer k
x = Ф ± 60° + 360° k
x = 180° + arctan(-12/5) ± 60° + 360° k
That's the exact answer;
x ≈ 180° - 67.38° ± 60° + 360° k
x ≈ 122.62° ± 60° + 360° k
x ≈ { 62.62°, 182.62°} + 360° k, integer k
