Question

What is the general pattern of an A.P. written term by term?

Options

• \( a, \; 2a, \; 4a, \; 8a, \; \ldots \)

• \( a, \; a + d, \; a + d, \; a + d, \; \ldots \)

• \( a, \; a + d, \; a + 2d, \; a + 3d, \; \ldots \)

• \( a, \; a + d, \; a + 3d, \; a + 7d, \; \ldots \)

Answer 1

Each term of an A.P. is formed by adding the common difference repeatedly: \( a, \; a + d, \; a + 2d, \; a + 3d, \; \ldots \). The third term is the first term plus two common differences, the fourth is the first term plus three common differences, and so on.