If the sixth term of an arithmetic sequence is 46, and the sum of its
third and tenth terms is 102, determine its term.
Remember the formula for the term of an arithmetic sequence is
where is the first term and is the common difference.
We know that and . Using the
general expression for the term above, we can set up two
simultaneous equations to calculate the values of and .
Now we can solve these simultaneous equations to find and .
Substituting this into the first equation,
Therefore, the equation for the term of the sequence is