Question

The 15th term of an AP-10, -5, 0, 5, ... is

• A. 55
• B. 60
• C. 65
• D. None of these

Answer 1

The Correct Option is B

The given arithmetic progression (AP) is:
\(-10, -5, 0, 5, \dots\).
This is an arithmetic progression with the first term \( a = -10 \) and common difference \( d = 5 \).
The formula for the \( n \)-th term of an AP is: \\ \[ T_n = a + (n-1) \cdot d \] For the 15th term, substitute \( n = 15 \), \( a = -10 \), and \( d = 5 \): \[ T_{15} = -10 + (15-1) \cdot 5 = -10 + 14 \cdot 5 = -10 + 70 = 60 \] Thus, the 15th term of the AP is \(60\).

The correct option is (B): \(60\)