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If t(n)=2n-3, is t(n)=54 a term sequence

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Answer:

t(n) = 54 is not a term in the sequence

Explanation:

To know if t(n) = 54 is a term in the sequence, let us substitute the value of t(n) into the equation. This is illustrated below

t(n) = 2n — 3

t(n) = 54

54 = 2n — 3

Collect like terms

54 + 3 = 2n

57 = 2n

Divide both side by the coefficient n i.e 2

n = 57/2 = 28.5

since the value of n obtained is decimal number, therefore, t(n) = 54 is not a term in the sequence

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