Question

How is the common difference \( d \) of an A.P. expressed using consecutive terms \( a_{n} \) and \( a_{n + 1} \)?

Options

• \( d = a_{n + 1} + a_{n} \)

• \( d = a_{n + 1} - a_{n} \)

• \( d = a_{n} - a_{n + 1} \)

• \( d = \dfrac{a_{n + 1}}{a_{n}} \)

Answer 1

An A.P. has a constant difference between consecutive terms, and the common difference is \( d = a_{n + 1} - a_{n} \). For example, Tara's salary gives \( d = t_{2} - t_{1} = 200 - 100 = 100 \).