Answer:
Option A is correct
\(a_n = 11-2(n-1)\) and \(a_{31} = -49\)
Step-by-step explanation:
Given the functions:
\(f(n) = 11\)
\(g(n) = -2(n-1)\)
then;
combine them to create an arithmetic sequence i.e,
\(a_n = f(n)+g(n)\)
⇒\(a_n = 11-2(n-1)\) where n is the number of terms
To find the 31st term.
Substitute n =31 we have;
\(a_n = 11-2(31-1)\)
⇒\(a_{31}=11-60 = -49\)
Therefore, we have an arithmetic sequence,
\(a_n = 11-2(n-1)\) and \(a_{31} = -49\)
