Question

A theater has 50 seats in the front row.There are 4 additional seats in each row following row. Write a rule to represent the number of seats in any given row as an explicit formula.

Answer 1

f(n) = 46 +4n . . . . . . where f(n) is the number of seats in row n

Explanation:

The numbers form an arithmetic sequence with first term 50 and common difference 4. The general term for such a sequence is ...

... a[n] = a[1] + d·(n -1)

... = 50 + 4(n -1) . . . . filling in your numbers

... = 46 + 4n . . . . . . . simplify