We want to write an equation for the n^(th) term of this sequence. Let's recall the equation for an arithmetic sequence.
a_n= a_1+(n-1) d
Here, a_1 represents the first term of the sequence and d represents the common difference. Let's identify these in our sequence.
The first term is 14 and the common difference is 8. By substituting these values into the explicit rule and simplifying the expression we find the equation for the n^(th) term.
We can see that when writing the explicit rule, an incorrect formula was used. The correct one is that the n^(th) term equals the sum of the first term and the product of (n-1) and the common difference.
a_n= a_1+(n-1) d
