Question

A sequence \(20, 17, 14, 11, \ldots\) is classified as:

Options

• Increasing A.P., because \(d > 0\) and terms increase

• Decreasing A.P., because \(d < 0\) and terms decrease

• Constant A.P., because the difference is constant

• Constant A.P., because \(d = 0\) and all terms are equal

Answer 1

Here \(d = 17 - 20 = -3 < 0\), so the terms decrease. An A.P. with \(d < 0\) is a Decreasing A.P. (a constant A.P. requires \(d = 0\), where all terms are equal).