Question

At the local grocery store, cans of beans are arranged in rows. The number of cans in each row forms an arithmetic sequence. There are 93 cans in row 1, 88 cans in row 2, 83 cans in row 3, and so on. One row contains 48 cans. Which row is this?
Row 7
Row 8
Row 9
Row 10

Answer 1

In an arithmetic series, the value of the nth term is calculated using the equation,
                                  an = ao + (n - 1)(d)
where an and ao are the nth and the 1st term, respectively. d is the common difference, and n is the number of terms.

In the given, an = 48, a0 = 93, d = -5 and n is unknown. Substituting the known values,
                                     48 = 93 + (n - 1)(-5)
The value of n from the equation is 10. Thus, the answer is the last choice.