class 11

Math

Algebra

Sequences and Series

The sum to infinity of the series $1+32 +3_{2}6 +3_{3}10 +3_{4}14 ......$ is

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If $4AM_{′}s$ are inserted between $1/2$ and $3$ then $3_{rd}$ AM is

Calculate the greatest and least values of the function$f(x)=x_{8}+2x_{6}−4x_{4}+8x_{2}+16x_{4} $

the mean $xˉ$

If $a,b$ and $c$ are positive real numbers then $ba +cb +ac $ is greater than or equal to.

The least value of $21 +32 cosec_{2}θ+83 sec_{2}θ$ is

Insert five number between $8$ and $26$ such that the resulting sequence is an A.P.

If a, b, c are in AP; x is the GM between a and b; y is the GM between b and c; then show that $b_{2}$ is the AM between $x_{2}$ and $y_{2}$.

If a boy bats 100 times and gets 40 hits, what is his batting average ?