Solve the problem.
-Find the 100th term of the following arithmetic sequence: $5,5 - \sqrt { 3 } , 5 - 2 \sqrt { 3 } , \ldots$
A) $5 - 100 \sqrt { 3 }$
B) $5 + 99 \sqrt { 3 }$
C) $5 - 99 \sqrt { 3 }$
D) $500 - 99 \sqrt { 3 }$

Question

Quizplus · Accepted Answer

The common difference of the sequence is $-\sqrt{3}$. The nth term of an arithmetic sequence is given by $a_n = a_1 + (n-1)d$. Here, $a_1 = 5$, $d = -\sqrt{3}$, and $n = 100$. So, $a_{100} = 5 + (100-1)(-\sqrt{3}) = 5 - 99\sqrt{3}$.

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