Use the formula for the general term (the $\mathrm{nth}$ term) of an arithmetic sequence to find the 50 th term of the sequence with the given first term and common difference $a_{1}=6 ; d=3$ \[ a_{50}= \]

Step 1 ：Given an arithmetic sequence with the first term \(a_{1}=6\) and common difference \(d=3\), we are asked to find the 50th term of the sequence.

Step 2 ：The formula for the nth term of an arithmetic sequence is given by: \(a_n = a_1 + (n - 1) * d\)

Step 3 ：Substitute the given values into the formula: \(a_{50} = 6 + (50 - 1) * 3\)

Step 4 ：Simplify the expression to find the 50th term: \(a_{50} = 153\)

Step 5 ：Final Answer: The 50th term of the sequence is \(\boxed{153}\)