If $2x$,$x+10$,and $3x+2$ are three consecutive terms of an $A.P.$,find the value of $x$.

The $20^{th}$ term of the $A.P.$ $1, 11, 21, \ldots$ is........

For the finite $A.P.$ $5, 9, 13, \ldots, 101$,find the $9^{th}$ term from the end.

$A$ person saved $Rs. 16,500$ in all during $10$ years. After the first year,every year he saved $Rs. 100$ more than what he had saved the previous year. Find his savings of the first year.

Find the number of terms in the finite $A.P.$ $7, 11, 15, \ldots, 107$.

The sum of the first three terms of an $AP$ is $33$. If the product of the first and the third term exceeds the second term by $29$,find the $AP$.