Which term of the $A.P.$ $63, 65, 67, \ldots$ and $3, 10, 17, \ldots$ are equal (in $^{th}$)?

Jaspal Singh repays his total loan of $Rs. 118000$ by paying every month starting with the first instalment of $Rs. 1000$. If he increases the instalment by $Rs. 100$ every month,what amount will be paid by him in the $30^{\text{th}}$ instalment? What amount of loan does he still have to pay after the $30^{\text{th}}$ instalment?

The first term of an $AP$ is $-5$ and the last term is $45$. If the sum of the terms of the $AP$ is $120$,then find the number of terms and the common difference.

Which term of the $A.P.$ $40, 36, 32, \ldots$ is $0$? Also,find the sum of how many terms of this $A.P.$ is $0$?

Find the sum of those integers from $1$ to $500$ which are multiples of $2$ or $5$.

For a finite $A.P.$,the first term is $17$ and the last term is $350$. If the common difference is $9$,find the number of terms in the $A.P.$ and also find their sum.