Question

Which type of A.P. is represented by the sequence \(2, 5, 8, 11, \ldots\)?

Options

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

• Not an A.P., since the difference is not constant

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

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

Answer 1

For \(2, 5, 8, 11, \ldots\), the common difference is \(d = 5 - 2 = 3 > 0\). An A.P. with \(d > 0\) is an Increasing A.P. in which terms increase.