Explicit equations for arithmetic sequences follow a specific format.
a_n= a_1+( n-1) dIn this form, a_1 is the first term in a given sequence, d is the common difference from one term to the next, and a_n is the nth term in the sequence. For this exercise, the first term is a_1= 6. Let's observe the other terms to determine the common difference d.
6- 3 →3- 3 →0- 3 →- 3...
By substituting these two values into the explicit equation and simplifying, we can find the formula for this sequence.
