List of top Mathematics Questions on Arithmetic Progression asked in JEE Advanced

Let $l_1, l_2, \ldots, l_{100}$ be consecutive terms of an arithmetic progression with common difference $d_1$, and let $w_1, w_2, \ldots, w_{100}$ be consecutive terms of another arithmetic progression with common difference $d_2$, where $d_1 d_2=10$ For each $i=1,2, \ldots, 100$, let $R_l$ be a rectangle with length $l_i$, width $w_i$ and area $A i$ If $A_{51}-A_{50}=1000$, then the value of $A_{100}-A_{90}$ is ___

Let $l_1, l_2, \ldots, l_{100}$ be consecutive terms of an arithmetic progression with common difference $d_1$, and let $w_1, w_2, \ldots, w_{100}$ be consecutive terms of another arithmetic progression with common difference $d_2$, where $d_1 d_2=10$ For each $i=1,2, \ldots, 100$, let $R_l$ be a rectangle with length $l_i$, width $w_i$ and area $A i$ If $A_{51}-A_{50}=1000$, then the value of $A_{100}-A_{90}$ is ___

The sum of first 9 terms of the series $ \frac{1^3}{1} + \frac{1^3+2^3}{1+3} + \frac{1^3+2^3+3^3}{1+3+5} +...$ is

If in a $\triangle$ PQR, sin P, sin Q, sin R are in AP, then

The product of n positive numbers is unity, then their sum is