Find the indicated term.
-Which term of the arithmetic sequence $11,6,1, \ldots$, is equal to - 489 ?
A) Term 96
B) Term 101
C) Term 91
D) Term 116

Question

Quizplus · Accepted Answer

The formula for the nth term of an arithmetic sequence is $a_n = a_1 + (n-1)d$, where $a_n$ is the nth term, $a_1$ is the first term, $n$ is the term number, and $d$ is the common difference. Here, $a_1 = 11$, $d = 6 - 11 = -5$, and $a_n = -489$. Plugging these into the formula gives $-489 = 11 + (n-1)(-5)$. Solving for $n$ gives $n = 101$.

Find the Indicated Term 11,6,1,…11,6,1, \ldots11,6,1,… , Is Equal to - 489 ? A) Term 96

Find the Indicated Term $11,6,1, \ldots$ , Is Equal to - 489 ?
A) Term 96