Question

What is the 11th term of the A.P. \( -3, -\frac{1}{2}, 2, \dots \) ?

• A. \( 28 \)
• B. \( 22 \)
• C. \( -38 \)
• D. \( -48 \)

Hint:

For an arithmetic sequence, the nth term formula is: \[ a_n = a + (n-1)d \]

Answer 1

The Correct Option is A

The \( n \)th term of an arithmetic progression is:
\[ a_n = a + (n-1)d \] Here, \( a = -3 \), \( d = -\frac{1}{2} - (-3) = \frac{5}{2} \), \( n = 11 \):
\[ a_{11} = -3 + (11-1) \times \frac{5}{2} \] \[ = -3 + 10 \times \frac{5}{2} = -3 + 25 = 28 \]