Mathematics
20.11.2022 08:52
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Sequences: Determine the first five terms of the following sequences: A. B.

Sequences: Determine the first five terms of the following sequences:

A. a_{n} = \frac{2n+3}{4}

B. a_{n} = \frac{n-3}{n-2}
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tiwaribianca475
tiwaribianca475
4,9(92 marks)

A.

aₙ = (2n + 3)/4

The first 5 terms:

a₁ = (2*1 + 3) / 4 = 5/4a₂ = (2*2 + 3) / 4 = 7/4a₃ = (2*3 + 3)/ 4 = 9/4a₄ = (2*4 + 3) / 4 = 11/4a₅ = (2*5 + 3) / 4 = 13/4

B.

aₙ = (n - 3)/(n - 2)

The first 5 terms:

a₁ = (1 - 3) / (1 - 2) = 2a₂ = (2 - 3) / (2 - 2) = undefineda₃ = (3 - 3)/ (3 - 2) = 0a₄ = (4 - 3) / (4 - 2) = 1 / 2a₅ = (5 - 3) / (5 - 2) = 2 / 3
kamayabrown668
kamayabrown668
5,0(77 marks)

Step-by-step explanation:

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