Question

What is the formula for the nth (general) term of an arithmetic progression?

Options

• \( t_{n} = a + nd \)

• \( t_{n} = a + (n - 1)d \)

• \( t_{n} = a - (n - 1)d \)

• \( t_{n} = a \times n \times d \)

Answer 1

The nth term of an A.P. is given by \( t_{n} = a + (n - 1)d \). Here \( a \) is the first term, \( d \) is the common difference, and \( n \) is the term number. The factor \( (n - 1) \) counts how many common differences are added after the first term.