a theater has 35 seats in the first row, 38 seats in the second row, and 41 seats in the third row and so on. write the general term for a sequence

Question

directrix · Answer

The nth term a-sub-n will have the form a(n) = a + (n – 1)*d where d is the common difference and a is the first term of the sequence.

[To get d, ask yourself what you add to the term 35 to get 38 that you also add to the term 38 to get 41.]

a(n) = 35 + (n – 1)*d. Fill in for d and simplify.  @jeanebradley