Explicit equations for arithmetic sequences follow a specific format.
a_n= a_1+( n-1) d
In this form, a_1 is the first term of the sequence, d is the common difference, and a_n is the nth term. In the given sequence, the first term is a_1= 8. Let's pay close attention to the pattern in order to determine the common difference d.
8+ 8 ⟶16+ 8 ⟶24+ 8 ⟶32+ 8 ⟶...
The common difference is 8. Therefore, by substituting a_1= 8 and d= 8 into the explicit equation and simplifying, we can find the formula for this sequence.
We found the equation for the nth term of the given arithmetic sequence. This equation can be used to find any term of the sequence. To find a_(25), the 25th term, we substitute 25 for n.
