Solve the problem.
-Find the 100th term of the following arithmetic sequence: $0.8 + \pi , 0.8 + 2 \pi , 0.8 + 3 \pi , \ldots$
A) $0.8 + 100 \pi$
B) $80 + 100 \pi$
C) $0.8 + 99 \pi$
D) $80 + 99 \pi$

Question

Quizplus · Accepted Answer

The common difference in the sequence is $\pi$, and the first term is $0.8 + \pi$. The $n$th term of an arithmetic sequence is given by $a_n = a_1 + (n - 1)d$, where $a_1$ is the first term and $d$ is the common difference. Substituting $n = 100$, $a_1 = 0.8 + \pi$, and $d = \pi$, we get $a_{100} = 0.8 + \pi + (100 - 1)\pi = 0.8 + 100\pi$.

Solve the Problem 0.8+π,0.8+2π,0.8+3π,…0.8 + \pi , 0.8 + 2 \pi , 0.8 + 3 \pi , \ldots0.8+π,0.8+2π,0.8+3π,…

Solve the Problem $0.8 + \pi , 0.8 + 2 \pi , 0.8 + 3 \pi , \ldots$