Question

The number of terms in A.P. \( 41, 38, 35, \dots, 8 \) is:

• A. \( 12 \)
• B. \( 14 \)
• C. \( 10 \)
• D. \( 15 \)

Hint:

To find the number of terms, solve for \( n \) using: \[ a_n = a + (n-1)d \]

Answer 1

The Correct Option is B

For an arithmetic sequence, we use:
\[ a_n = a + (n-1)d \] Given \( a = 41 \), \( d = 38 - 41 = -3 \), and last term \( a_n = 8 \): \[ 8 = 41 + (n-1)(-3) \] \[ 8 - 41 = -3(n-1) \] \[ -33 = -3(n-1) \] \[ n-1 = 11 \] \[ n = 14 \]