Use the formula for the general term (the nth term) of an arithmetic sequence to find the sixth term of the sequence with the given first term and common difference.
\[
a_{1}=5 ; d=6
\]
\[
a_{6}=\square
\]
Final Answer: \(a_{6} = \boxed{35}\)
Step 1 :Given the first term \(a_{1} = 5\) and the common difference \(d = 6\) of an arithmetic sequence, we are asked to find the sixth term \(a_{6}\).
Step 2 :We use the formula for the nth term of an arithmetic sequence: \(a_{n} = a_{1} + (n-1) * d\).
Step 3 :Substitute the given values into the formula: \(a_{6} = 5 + (6-1) * 6\).
Step 4 :Simplify the expression to find the value of \(a_{6}\).
Step 5 :Final Answer: \(a_{6} = \boxed{35}\)