Which sequence follows the rule an =an–1 + 7?
1 answer:
Answer:
A
Step-by-step explanation:
using the rule : =
+ 7
sequence A with a₁ = 11
a₂ = a₁ + 7 = 11 + 7 = 18
a₃ = a₂ + 7 = 18 + 7 = 25
a₄ = a₃ + 7 = 25 + 7 = 32
sequence A is generated using the rule
sequence B with a₁ = 17
a₂ = a₁ + 7 = 17 + 7 = 24
a₃ = a₂ + 7 = 24 + 7 = 31
a₄ = a₃ + 7 = 31 + 7 = 38
sequence B is not generated using the rule
sequence C with a₁ = - 15
a₂ = - 15 + 7 = - 8
a₃ = a₂ + 7 = - 8 + 7 = - 1
a₄ = a₃ + 7 = - 1 + 7 = 6
sequence C is not generated using the rule
sequence D with a₁ = - 9
a₂ = a₁ + 7 = - 9 + 7 = - 2
a₃ = a₂ + 7 = - 2 + 7 = 5
a₄ = a₃ + 7 = 5 + 7 = 12
sequence D is not generated using the rule
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Lets do this step by step.
This is the trigonometric form of a complex number where is the modulus and
is the angle created on the complex plane.
The modulus of a complex number is the distance from the origin on the complex plane.
where
Substitute the actual values of a = -5 and b = -5.
Now Find .
Raise - 5 to the power of 2.
Raise - 5 to the power of 2.
Add 25 and 25.
Rewrite 50 as 5^2 . 2 .
Pull terms out from under the radical.
The angle of the point on the complex plane is the inverse tangent of the complex portion over the real portion.
Since inverse tangent of produces an angle in the third quadrant, the value of the angle is
.
Substitute the values of and
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Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀