To begin, let's observe the given terms in the sequence to determine the value of the first term as well as the common difference.
6+(-3) →3+(-3) →0+(-3) →-3
We can use this information to write an equation for the nth term of the sequence.
Writing the Equation
Explicit equations for the nth term of an arithmetic sequence follow a certain format.
a_n= a_1+( n-1) d
In this form, a_1 is the first term in the sequence, d is the common difference, and n is the position of the desired term in the sequence. Using the common difference d= -3 and the first term a_1= 6, we can write and simplify the equation.
