Question

Which of the following is an example of a Constant A.P.?

Options

• \(2, 5, 8, 11, \ldots\), where \(d > 0\)

• \(6, 6, 6, 6, \ldots\), where \(d = 0\) and all terms are equal

• \(1, 2, 4, 8, \ldots\), where terms are doubled

• \(20, 17, 14, 11, \ldots\), where \(d < 0\)

Answer 1

A Constant A.P. has \(d = 0\), so all terms are equal; \(6, 6, 6, 6, \ldots\) fits this. In \(2, 5, 8, 11, \ldots\) we have \(d = 3 > 0\), and in \(20, 17, 14, 11, \ldots\) we have \(d = -3 < 0\).