Generate Math Exams and Quizzes in LaTeX and pdf formats

The common difference is \(\displaystyle -17-(-15)=-2\). Using the first term gives the general term \(\displaystyle a_{n}=- 2 n - 13\).

Download \(\LaTeX\)

\begin{question}Find the general term of the sequence $-15,-17,-19,\ldots$
    \soln{9cm}{The common difference is $-17-(-15)=-2$. Using the first term gives the general term $a_{n}=- 2 n - 13$.}

\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 -15,-17,-19,\ldots " src="/equation_images/%20%5Cdisplaystyle%20-15%2C-17%2C-19%2C%5Cldots%20" alt="LaTeX: \displaystyle -15,-17,-19,\ldots " data-equation-content=" \displaystyle -15,-17,-19,\ldots " />

The common difference is <img class="equation_image" title=" \displaystyle -17-(-15)=-2 " src="/equation_images/%20%5Cdisplaystyle%20-17-%28-15%29%3D-2%20" alt="LaTeX: \displaystyle -17-(-15)=-2 " data-equation-content=" \displaystyle -17-(-15)=-2 " /> . Using the first term gives the general term <img class="equation_image" title=" \displaystyle a_{n}=- 2 n - 13 " src="/equation_images/%20%5Cdisplaystyle%20a_%7Bn%7D%3D-%202%20n%20-%2013%20" alt="LaTeX: \displaystyle a_{n}=- 2 n - 13 " data-equation-content=" \displaystyle a_{n}=- 2 n - 13 " /> .