Question

According to the pattern of an A.P., how is the term at position \( n \) described in words?

Options

• First term + \( n \) common differences

• First term multiplied by \( (n - 1) \) common differences

• First term + \( (n - 1) \) first terms

• First term + \( (n - 1) \) common differences

Answer 1

The term at position \( 4 \) is \( a + 3d \), i.e., the first term plus three common differences. Generalising, the term at position \( n \) is \( a + (n - 1)d \), described as the first term plus \( (n - 1) \) common differences.