Divide $24$ in three parts such that they are in $AP$ and their product is $440$.

The sum of three consecutive terms of an $AP$ is $21$ and the sum of the squares of these terms is $165$. Find these terms

The angles of quadrilateral are in $AP$, where common difference is ${10}^{\mathrm{o}}$. Find the angles.

Find four numbers in $AP$ whose sum is $28$ and the sum of whose squares is $216$.

Divide $32$ into four parts which are the four terms of an $AP$ such that the product of the first and fourth terms is to product of the second and the third terms as $7:15$.

The sum of first three terms of an $AP$ is $48$. If the product of first and second terms exceeds $4$ times the third term by $12$. Find the $AP$.

Find the sum of the given $AP$:

$2, 7, 12, 17, ...$to $19$ terms.

Find the sum of the following $AP$:

$9, 7, 5, 3, ...$ to $14$ terms