A sequence is defined recursively by the following rules:
f(1)=3
f(n+1)=2* f(n)-1

Which of the following statements is true about the sequence? select TWO that apply.

A. f(2)=5
B. f(3)=10
C. f(4)=18
D. f(5)=33
E. 'f(6)=66'

Question

24-11-2017
Mathematics

contestada

A sequence is defined recursively by the following rules:
f(1)=3
f(n+1)=2* f(n)-1

Which of the following statements is true about the sequence? select TWO that apply.

A. f(2)=5
B. f(3)=10
C. f(4)=18
D. f(5)=33
E. 'f(6)=66'

Respuesta :

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merlynthewhizz merlynthewhizz · Answer 1 · 2017-11-24T21:48:15+01:00

We will check the value of the sequence given by each option

f₂ = f₁₊₁ = 2(f₁) - 1 = 2(3) - 1 = 6 - 1 = 5

Option A is correct
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f₃ = f₂₊₁ = 2(f₂) - 1 = 2(5) - 1 = 10 - 1 = 9

Option B is incorrect
------------------------------------------------------------------------------------------------

f₄ = f₃₊₁ = 2(f₃) - 1 = 2(9) - 1 = 18 - 1 = 17

Option C is incorrect
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f₅ = f₄₊₁ = 2(17) - 1 = 34 - 1 = 33

Option D is correct
------------------------------------------------------------------------------------------------

f₆ = f₅₊₁ = 2(33) - 1 = 66 - 1 = 65

Option E is incorrect
------------------------------------------------------------------------------------------------

Two correct answers are A and D

A sequence is defined recursively by the following rules: f(1)=3 f(n+1)=2* f(n)-1 Which of the following statements is true about the sequence? select TWO that apply. A. f(2)=5 B. f(3)=10 C. f(4)=18 D. f(5)=33 E. 'f(6)=66'

Respuesta :

Otras preguntas

A sequence is defined recursively by the following rules:
f(1)=3
f(n+1)=2* f(n)-1

Which of the following statements is true about the sequence? select TWO that apply.

A. f(2)=5
B. f(3)=10
C. f(4)=18
D. f(5)=33
E. 'f(6)=66'