Question

The n^th term of an Arithmetic Progression is given by which expression?

Options

• \[a_n = a + nd\]

• \[a_n = a \cdot d^{n-1}\]

• \[a_n = a + (n - 1)d\]

• \[a_n = a + (n + 1)d\]

Answer 1

In an A.P. the nth term is \[a_n = a + (n - 1)d,\] since each term after the first increases by the common difference d. The first term \[a\] itself is obtained for \[n = 1.\]