class 11

Math

Algebra

Sequences and Series

Let a,b ,c be positive integers such that $ab $ is an integer. If a,b,c are in GP and the arithmetic mean of a,b,c, is b+2 then the value of $a+1a_{2}+a−14 $ is

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GM between 0.15 and 0.015 is

The geometric mean of 4.9 and 0.4 is

A student scored marks 46 % in English, 67 % in Maths, 53 % in Hindi, 72 % in History and 58 % in Economics. As compared to other subject weightage given to Mathematics, then find weightage mean marks of students.

If the distinct points on the curve $y=2x_{4}+7x_{3}+3x−5$ are collinear, then find the arithmatic mean of x-coordinates of the aforesaid points

There are $n$ AM's between $1&31$ such that $7th$ mean: $(n−1)_{th}$ mean $=5:9,$ then find the value of $n.$

If $a,b,c∈R_{+}$, then the minimum value of $a(b_{2}+c_{2})+b(c_{2}+a_{2})+c(a_{2}+b_{2})$ is equal to

If the mean of $5$ observations $x,x+2,x+4,x+6$ and $x+8$ is $11$, find the value of $x$.

Find the geometric mean between $16$ and $81.$