While counting chairs in the lunch room, Avery noticed that there were 82 chairs in the first row, 82 chairs in the second row, 82 chairs in the third row, and 82 chairs in the fourth row. What kind of sequence is this?

Question

A) arithmetic
B) geometric
C) both
D) neither

Answer 1

The sequence of the number of chairs in each row is as follows:

• First row: 82
• Second row: 82
• Third row: 82
• Fourth row: 82

This sequence consists of constant terms (all values are 82).

An arithmetic sequence is defined as a sequence in which the difference between consecutive terms is constant. Here, the difference between each pair of consecutive terms (82 - 82) is 0, which is constant.

A geometric sequence is one in which the ratio between consecutive terms is constant. Here, the ratio of each term to the previous one (82/82) is 1, which is also constant.

Since this sequence meets the criteria for both an arithmetic sequence and a geometric sequence, the correct answer is:

C) both