M L Aggarwal Solutions for Exercise 2: Exercise 9.2

Find the $12$th term from the end of the A.P. $-2,-4,-6,............,-100$.

Which term of the A.P. $53,48,43,.......$ is the first negative term?

Determine the A.P. whose third term is $16$ and the $7\mathrm{th}$ term exceeds the $5\mathrm{th}$ term by $12$.

Find the $20\mathrm{th}$ term of the A.P. whose $7\mathrm{th}$ term is $24$ less than the $11\mathrm{th}$ term, first term being$12$.

Find the $31st$ term an A.P. whose $11\mathrm{th}$ term is $38$ and $6\mathrm{th}$ term is$73$.

The $15\mathrm{th}$ term of an A.P. is $3$ more than twice its $7\mathrm{th}$ term. If the $10\mathrm{th}$ term of the A.P. is $41$, find its $\mathrm{nth}$ term.

Which term of the A.P. $3, 10, 17, .....$ will be $84$ more than its ${13}^{th}$ term ?

If the numbers $n-2, 4n-1$ and $5n+2$ are in A.P., find the value of $n$.