class 11

Math

Algebra

Sequences and Series

If the mean deviation of the numbers $1,1+d,1+2d,…,1+100d$ from their mean is 255, thenthe d is equal to

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There are four arithmetic means between $2$ and $−18.$ The means are

Find the GM between the numbers $a_{3}b$ and $ab_{3}$.

A man travels $m$ feet due north at $2$ minutes per metre. He returns due south to his starting point at $2$ metre per minute. The average rate in miles per hour for the entire trip is:

Maximum value of $∏(1+ab−c )_{a}$ is $λ$ where $a,b,c$ are integral sides of a triangle, $λ+2$ is/are divisible by

Prove that the sum of the n arithmetic means inserted between two quantities is n times the single arithmetic mean between them.

If $sinx+cosx=y+y1 ,xϵ[0,π]$ and $y>0$, then-

$nA.M.s$ are inserted between $2$ and $100$ then sum of the $A.M_{′}s$ is

If $x_{2}+x_{2}1 =A$ and $x−x1 =B$ then least value of $BA $ is