Question

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

• A. 82
• B. -82
• C. 72
• D. -72

Hint:

The 35th term can be found by using the formula \(a_n = a_1 + (n-1) \cdot d\).

Answer 1

The Correct Option is B

Given the A.P. is 20, 17, 14, 11, \dots with \(a_1 = 20\) and \(d = -3\). The formula for the \(n\)-th term is: \[ a_n = a_1 + (n - 1) \cdot d \] Substituting \(a_1 = 20\), \(d = -3\), and \(n = 35\): \[ a_{35} = 20 + 34 \cdot (-3) = 20 - 102 = -82 \]