Generate Math Exams and Quizzes in LaTeX and pdf formats

The common difference is \(\displaystyle -28-(-13)=-15\). Using the first term gives the general term \(\displaystyle a_{n}=2 - 15 n\).

Download \(\LaTeX\)

\begin{question}Find the general term of the sequence $-13,-28,-43,\ldots$
    \soln{9cm}{The common difference is $-28-(-13)=-15$. Using the first term gives the general term $a_{n}=2 - 15 n$.}

\end{question}

Download Question and Solution Environment\(\LaTeX\)

\documentclass{article}
\usepackage{tikz}
\usepackage{amsmath}
\usepackage[margin=2cm]{geometry}
\usepackage{tcolorbox}

\newcounter{ExamNumber}
\newcounter{questioncount}
\stepcounter{questioncount}

\newenvironment{question}{{\noindent\bfseries Question \arabic{questioncount}.}}{\stepcounter{questioncount}}
\renewcommand{\labelenumi}{{\bfseries (\alph{enumi})}}

\newif\ifShowSolution
\newcommand{\soln}[2]{%
\ifShowSolution%
\noindent\begin{tcolorbox}[colframe=blue,title=Solution]#2\end{tcolorbox}\else%
\vspace{#1}%
\fi%
}%
\newcommand{\hideifShowSolution}[1]{%
\ifShowSolution%
%
\else%
#1%
\fi%
}%
\everymath{\displaystyle}
\ShowSolutiontrue

\begin{document}\begin{question}(10pts) The question goes here!
    \soln{9cm}{The solution goes here.}

\end{question}\end{document}

Find the general term of the sequence <img class="equation_image" title=" \displaystyle -13,-28,-43,\ldots " src="/equation_images/%20%5Cdisplaystyle%20-13%2C-28%2C-43%2C%5Cldots%20" alt="LaTeX: \displaystyle -13,-28,-43,\ldots " data-equation-content=" \displaystyle -13,-28,-43,\ldots " />

The common difference is <img class="equation_image" title=" \displaystyle -28-(-13)=-15 " src="/equation_images/%20%5Cdisplaystyle%20-28-%28-13%29%3D-15%20" alt="LaTeX: \displaystyle -28-(-13)=-15 " data-equation-content=" \displaystyle -28-(-13)=-15 " /> . Using the first term gives the general term <img class="equation_image" title=" \displaystyle a_{n}=2 - 15 n " src="/equation_images/%20%5Cdisplaystyle%20a_%7Bn%7D%3D2%20-%2015%20n%20" alt="LaTeX: \displaystyle a_{n}=2 - 15 n " data-equation-content=" \displaystyle a_{n}=2 - 15 n " /> .