Identify the formula for finding the nth term of an arithmetic sequence, where a(n) is the nth term of an arithmetic sequence, a is the first term, n is the term number and d is the common difference.

a) a(n)=a+(n)(d−1)

b) a(n)=a+(n+1)d

c) a(n)=a+(n−1)d

d) a(n)=a−1+(n−1)d

The answer is letter c. If we talked about arithmetic sequence it has the explicit formula: A(n)= a+(n-1)d. So it showed in the choices that letter c has the correct formula for arithmetic sequence. It is the only formula if you are going to find nth term of an arithmetic sequence. 

put like terms together.orremember that the 45 becomes negative when moved to the other side.orthe minuses cancel out.