Question

What is the 35th term of the A.P. 20, 17, 14, 11, ... ?

• A. \( 82 \)
• B. \( -82 \)
• C. \( 72 \)
• D. \( -72 \)

Hint:

The general formula for the \( n \)-th term of an A.P. is: \[ a_n = a + (n-1) d. \]

Answer 1

The Correct Option is B

The given arithmetic progression (A.P.) is:
\[ 20, 17, 14, 11, \dots \] First term: \( a = 20 \), Common difference: \( d = 17 - 20 = -3 \).
Using the general formula for the \( n \)-th term: \[ a_n = a + (n-1) d \] \[ a_{35} = 20 + (35-1)(-3) \] \[ = 20 + 34(-3) \] \[ = 20 - 102 = -82. \]