Question:
The number of terms in A.P. \( 41, 38, 35, \dots, 8 \) is:
The number of terms in A.P. \( 41, 38, 35, \dots, 8 \) is:
Show Hint
To find the number of terms, solve for \( n \) using:
\[
a_n = a + (n-1)d
\]
Updated On: Oct 27, 2025
- \( 12 \)
- \( 14 \)
- \( 10 \)
- \( 15 \)
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Verified By Collegedunia
The Correct Option is B
Solution and Explanation
For an arithmetic sequence, we use:
\[ a_n = a + (n-1)d \] Given \( a = 41 \), \( d = 38 - 41 = -3 \), and last term \( a_n = 8 \): \[ 8 = 41 + (n-1)(-3) \] \[ 8 - 41 = -3(n-1) \] \[ -33 = -3(n-1) \] \[ n-1 = 11 \] \[ n = 14 \]
\[ a_n = a + (n-1)d \] Given \( a = 41 \), \( d = 38 - 41 = -3 \), and last term \( a_n = 8 \): \[ 8 = 41 + (n-1)(-3) \] \[ 8 - 41 = -3(n-1) \] \[ -33 = -3(n-1) \] \[ n-1 = 11 \] \[ n = 14 \]
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