Question

what is the next two terms -21, -9, 11, 39

Answer 1

\(\large\tt \begin{align} \color{black}{
\text{-21 -9 11 39}\\~\\
\text{first differences are}\\~\\
~~~~~~~~~~~\text{ 12 20 20}\\~\\
\text{second differences are}\\~\\
~~~~~~~~~~~~~~~~~~~~\text{ 8 8}\\~\\~\\~\\~\\


\text{so for next two terms }\\~\\
\text{-21 -9 11 39 - -}\\~\\
\text{first differences and second differences are}\\~\\
\text{ 12 20 28 36 44}\\~\\
~~~~~~~~~~~~\text{ 8 8 8 8}\\~\\~\\~\\~\\
\text{so for next two terms }\\~\\
\text{-21 -9 11 39 }~~~~~~~~~~~~~\color{red}{75} ~~~~~~~~~~~~~~~~~~ \color{red}{119}\\~\\

~~~~~~~~~\text{ 12 20 28 36 44}\\~\\
~~~~~~~~~~~~~~~~~~~~~\text{ 8 8 8 8}\\~\\~\\~\\~\\


}\end{align}\)