Respuesta :

The answer is C. The 15th term is 3*15 -1, or 45 -1, which is 44.

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.

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