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 $a_{1}=6 ; d=3$
\[
a_{50}=
\]

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Answer

Final Answer: The 50th term of the sequence is $\boxed{153}$

Steps

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 $\boxed{153}$