Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

What is the 11th term of the sequence: \(m - 2n, m - n, m, \ldots\)?
Options
A \(m + n\)
B \(m - n\)
C \(m + 6n\)
D \(m + 8n\)
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

First term (a_1 = m - 2n). Common difference (d = (m - n) - (m - 2n) = n). So (a_{11} = a_1 + (11-1)d = (m - 2n) + 10n = m + 8n).

Hint

Identify the first term and common difference, then use \(a_n = a_1 + (n-1)d\).

Question Info