Mahabir Singh Solutions for Chapter: Arithmetic Progressions, Exercise 1: MATHEMATICAL REASONING

Find the sum of first $20$ terms of an A.P. whose $n^{th}$ term is given by $T_n=(7-3n)$

Which term of the A.P. $\mathrm{5,2},-1\dots \dots .$ is $-22?$

The sum of all the terms of the arithmetic progression having ten terms except for the first term is $99$, and except for the sixth term is $89$. Find the $8^{th}$ term of the progression if the sum of the first and the fifth term is $10.$

In an A.P., if the $p^{th}$ term is $\text{'}q\text{'}$ and the $qth$ term is $\text{'}p\text{'}$, then its $n^{th}$ term is

If $x\ne y$ and the sequences $x,a_1,a_2,y$ and $x,b_1,b_2,y$ each are in A.P., then $\left(\frac{a_2-a_1}{b_2-b_1}\right)$

The ratio of the sum of $m$ and $n$ terms of an A.P. is $m^2:n^2$, then find the ratio of $m^{th}$ and $n^{th}$ term

Four numbers are inserted between the numbers $4$ and $39$ such that an A.P. results. Find the biggest of these four numbers.

If the $m^{th}$term of an A.P.is $\frac{1}{n}$and $n^{th}$ term is $\frac{1}{m},$then the sum of the first $mn$ terms is