Arithmetic Progression

$2 +4 +6 +8$ ............$58 =?$

Which term of A.P. $- 4, 0, 4\dots ..$ is $48?$

Find the summation upto $n^{th}$ term of the series $1^2-2^2+3^2-4^2+5^2.............$

If $x,y,z$ are in increasing $A.P.$, then its common difference is

In a triangle $ABC$, if $\tan \left(\raisebox{1ex}{$A$}\!\left/ \!\raisebox{-1ex}{$2$}\right.\right),\tan \left(\raisebox{1ex}{$B$}\!\left/ \!\raisebox{-1ex}{$2$}\right.\right) \text{and} \tan \left(\raisebox{1ex}{$C$}\!\left/ \!\raisebox{-1ex}{$2$}\right.\right)$ are in Arithmetic Progression, then which of the following option is always correct$?$

Find if the given series $1,1,1,1,1,1,........,$is in $A.P/G.P ?$

If the sum of '$n$' terms of an AP (Arithmetic Progression) is $2n^2$, the fifth term is ______

What number of terms of the series: $5+7+9+...$ must be taken so that the sum may be $580$?

Divide $69$ into $3$ parts which are in $\mathrm{A}.\mathrm{P}$ and are such that the product of first two parts is $460$

The $20$th terms of arithmetic progression whose $6$th term is $38$ and $10$th term is $66$ is _________

The sum of five terms of $\mathrm{AP}$ is $75$, then find it's $3^{rd}$ term.

If $a_1, a_2 ..., a_{2n+1}$ are in $A.P.$, then $\frac{a_{n+2}-a_n}{a_{n+2}+a_n}+\frac{a_{n+3}-a_{n-1}}{a_{n+3}+a_{n-1}}+...+\frac{a_{2n+1}-a_1}{a_{2n+1}+a_1}$ is equal to

If $a,b,c$ are in $\mathrm{GP}$, then ${\log }_e{a}^n,{\log }_e{b}^n,{\log }_e{c}^n$ will be in

The sum of the n consecutive odd natural numbers starting from 5 is 60. Find the value of (n²-n).

If $\mathrm{a},-3, \mathrm{b}, 5, \mathrm{C}$ are in $\mathrm{A}.\mathrm{P}.$ then the value of $\mathrm{c}$ is:

If the $15\mathrm{th}$ term of an arithmetic series is $143$ and the $31\mathrm{st}$ term is $183$, then find the sum of first $13$ terms.

If the $15\mathrm{th}$ term of an arithmetic series is $143$ and the $31\mathrm{st}$ term is $183$, then find the value of $100th$ term

If the $15\mathrm{th}$ term of an arithmetic series is $143$ and the $31\mathrm{st}$ term is $183$, then find the value of $5th$ term

If the $15\mathrm{th}$ term of an arithmetic series is $143$ and the $31\mathrm{st}$ term is $183$, then find the value of first term

If the $15\mathrm{th}$ term of an arithmetic series is $143$ and the $31\mathrm{st}$ term is $183$, then find the value of $2d$, where $d$ is the common difference