Answer:
t(n) = 54 is not a term in the sequence
Step-by-step 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
