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Sergio039 [100]
3 years ago
14

Consider the recursively defined function below.

Mathematics
2 answers:
ddd [48]3 years ago
6 0

Answer:

 -5.25, -3.5, -1.75, 0, 1.75

The recursive relation tells you this is an arithmetic sequence with a common difference of 1.75. Each term is 1.75 more than the one before.

To find the 2nd term, add 1.75 to the first term: -5.25 + 1.75 = -3.5

To find the 3rd term, add 1.75 to the second term: -3.5 + 1.75 = -1.75

To find the 4th term, add 1.75 to the third term: -1.75 + 1.75 = 0

To find the 5th term, add 1.75 to the forth term: 0 + 1.75 = 1.75

Dvinal [7]3 years ago
5 0

Answer:

  -5.25, -3.5, -1.75, 0, 1.75

Step-by-step explanation:

The recursive relation tells you this is an arithmetic sequence with a common difference of 1.75. Each term is 1.75 more than the one before.

To find the 2nd term, add 1.75 to the first term: -5.25 + 1.75 = -3.5

To find the 3rd term, add 1.75 to the second term: -3.5 + 1.75 = -1.75

To find the 4th term, add 1.75 to the third term: -1.75 + 1.75 = 0

and so on ...

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Simplify the following expression below:
IrinaK [193]
So, 4/3 - 2i

4/3 - 2i = 12/13 + i8/13

multiply by the conjugate: 
3 + 2i/3 + 2i
= 4(3 + 2i)/(3 - 2i) (3 + 2i)
(3 - 2i) (3 + 2i) = 13

(3 - 2i) (3 + 2i)

apply complex arithmetic rule: (a + bi) (a - bi) = a^2 + b^2
a = 3, b =  - 2
= 3^2 + (- 2)^2

refine: = 13
= 4(3 + 2i)/13

distribute parentheses:
a(b + c) = ab + ac
a = 4, b = 3, c = 2i
= 4(3) + 4(2i)

Simplify:
4(3) + 4(2i)
12    +    8i


4(3) + 4(2i)
Multiply the numbers: 4(3) = 12
= 12 + 2(4i)

Multiply the numbers: 4(2) = 8
= 12 + 8i


   12 + 8i
= 12 + 8i/13

Group the real par, and the imaginary part of the complex numbers:


Your answer is: 12/13 + 8i/13





Hope that helps!!!
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2 years ago
A bus makes a stop at 2:30, letting off 10 people and letting on 2. The bus makes another stop ten minutes later to let off 3 mo
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A rectangle has a length of x + 7 and a width of x-2. Which equation below describes the perimeter, P, of
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5 0
1 year ago
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D = 5√3 ≈ 8.7 cm.
6 0
3 years ago
Read 2 more answers
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