Answer: The correct option is (C) 44.
Step-by-step explanation: We are given to find the 15-th term of the sequence using the following formula for the n-th term of the sequence:
[tex]c_n=3n-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
Since we are to find the 15-th term of the given sequence, so we will substitute the value of n as 15 in the given formula.
Substituting n = 15 in the given formula (i), we get
[tex]c_{15}=3n-1=3\times 15-1=45-1=44.[/tex]
Thus, the 15-th term of the given sequence is 44.
Option (C) is correct.