Class 10

Math

All topics

Sequences and Series

What is the common difference, if $a_{1}=100$ and $a_{2}=250$

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

Sum of two numbers is $6$ times their geometric mean, show that numbers are in the ratio $(3+22 ):(3−22 )$.

Find the arithmetic mean If $69.5$ is the mean of $72,70,x,62,50,71,90,64,58$ and $82$. Find the value of $x.$

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

Increased by 60%

Between two numbers whose sum is $613 $, an even number of A.M.s is inserted, the sum of these means exceeds their number by unity. Find the number of means.

Find $x$, if the given numbers are in A.P. $(a+b)_{2},x,(a−b)_{2}$