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Arithmetic Mean is considered one the most difficult concept.
19 Questions around this concept.
If are in A.P. then equals:
Let G be the geometric mean of two positive numbers a and b, and M be the arithmetic mean of and
if is 4:5 then a:b can be:
For any three positive real numbers a, b and c, 9(25a2+b2)+25(c2−3ac)=15b(3a+c). Then:
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The number of ways in which 5 boys and 3 girls can be seated on a round table if a particular boy B1 and a particular girl G1 never sit adjacent to each other, is :
Arithmetic Mean
If three terms are in AP, then the middle term is called the Arithmetic Mean (A.M.) of other two numbers. So if, a, b and c are in A.P., then b is AM of a and c.
If are n positive numbers, then the Arithmetic Mean of these numbers is given by
Insertion of n-Arithmetic Mean Between a and b
If are n arithmetic mean between two numbers a and b, then, is an A.P.
Let d be the common difference of this A.P. Clearly, this A.P. contains n + 2 terms.
The sum of n arithmetic mean between two numbers is n times the single A.M. between them.
Proof:
Let be n arithmetic mean of two numbers a and b.
Then, is an A.P. with common difference
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Mathematics for Joint Entrance Examination JEE (Advanced) : Algebra
Page No. : 5.8
Line : Last Line
Mathematics for Joint Entrance Examination JEE (Advanced) : Algebra
Page No. : 5.8
Line : Last Line
July 04, 2019
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