Question

How many terms are in A.P. 3, 8, 13, 18, ..., 93?

• A. 19
• B. 18
• C. 20
• D. 16

Hint:

To find the number of terms in an A.P., solve \(a_n = a_1 + (n - 1) \cdot d\).

Answer 1

The Correct Option is B

Given the A.P. 3, 8, 13, 18, \dots with \(a_1 = 3\) and \(d = 5\). The formula for the \(n\)-th term is: \[ a_n = a_1 + (n - 1) \cdot d \] Substituting \(a_n = 93\), \(a_1 = 3\), and \(d = 5\): \[ 93 = 3 + (n - 1) \cdot 5 \] Solving for \(n\): \[ n = 19 \]