Question

Integers Ouestion guess the answers okay :
Fill in the blanks using :
$< >$
1.-3___-4
2.-12___+12
3.4___-17​

Answer 1

${\displaystyle {\begin{aligned}\pi &=\textstyle {\cfrac {4}{1+\textstyle {\cfrac {1^{2}}{2+\textstyle {\cfrac {3^{2}}{2+\textstyle {\cfrac {5^{2}}{2+\textstyle {\cfrac {7^{2}}{2+\textstyle {\cfrac {9^{2}}{2+\ddots }}}}}}}}}}}}=3+\textstyle {\cfrac {1^{2}}{6+\textstyle {\cfrac {3^{2}}{6+\textstyle {\cfrac {5^{2}}{6+\textstyle {\cfrac {7^{2}}{6+\textstyle {\cfrac {9^{2}}{6+\ddots }}}}}}}}}}\\[8pt]&=\textstyle {\cfrac {4}{1+\textstyle {\cfrac {1^{2}}{3+\textstyle {\cfrac {2^{2}}{5+\textstyle {\cfrac {3^{2}}{7+\textstyle {\cfrac {4^{2}}{9+\ddots }}}}}}}}}}\end{aligned}}}{\displaystyle {\begin{aligned}\pi &=\textstyle {\cfrac {4}{1+\textstyle {\cfrac {1^{2}}{2+\textstyle {\cfrac {3^{2}}{2+\textstyle {\cfrac {5^{2}}{2+\textstyle {\cfrac {7^{2}}{2+\textstyle {\cfrac {9^{2}}{2+\ddots }}}}}}}}}}}}=3+\textstyle {\cfrac {1^{2}}{6+\textstyle {\cfrac {3^{2}}{6+\textstyle {\cfrac {5^{2}}{6+\textstyle {\cfrac {7^{2}}{6+\textstyle {\cfrac {9^{2}}{6+\ddots }}}}}}}}}}\\[8pt]&=\textstyle {\cfrac {4}{1+\textstyle {\cfrac {1^{2}}{3+\textstyle {\cfrac {2^{2}}{5+\textstyle {\cfrac {3^{2}}{7+\textstyle {\cfrac {4^{2}}{9+\ddots }}}}}}}}}}\end{aligned}}}$