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Sequences: Determine the first five terms of the following sequences: A. a_(n) = (2n+3)/(4) B. a_(n) = (n-3)/(n-2)
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Jan 27, 2022
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Sequences:
Determine the first five terms of the following sequences:
A.
B.
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Answer:
A.
aₙ = (2n + 3)/4
The first 5 terms:
a₁ = (2*1 + 3) / 4 = 5/4
a₂ = (2*2 + 3) / 4 = 7/4
a₃ = (2*3 + 3)/ 4 = 9/4
a₄ = (2*4 + 3) / 4 = 11/4
a₅ = (2*5 + 3) / 4 = 13/4
B.
aₙ = (n - 3)/(n - 2)
The first 5 terms:
a₁ = (1 - 3) / (1 - 2) = 2
a₂ = (2 - 3) / (2 - 2) = undefined
a₃ = (3 - 3)/ (3 - 2) = 0
a₄ = (4 - 3) / (4 - 2) = 1 / 2
a₅ = (5 - 3) / (5 - 2) = 2 / 3
Reza Toghraee
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Feb 2, 2022
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Reza Toghraee
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