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Let A1, G1, H1 denote the arithmetic, geometric and harmoni c means, respectively, of two distinct positive numbers. For n ≥ 2, Let An – 1 and Hn – 1 have arithmetic, geometric and harmonic means as An, Gn, Hn respectively
- a)H1 > H2 > H3 > ........
- b)H1 < H2 < H3 < ........
- c)H1 > H3 > H5 > .....and H2 < H4 < H6 < ........
- d)H1 < H3 < H5 < .....and H2 > H4 > H6 > ........
Correct answer is option 'B'. Can you explain this answer?
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Let A1, G1, H1 denote the arithmetic, geometric and harmoni c means, r...
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Let A1, G1, H1 denote the arithmetic, geometric and harmoni c means, r...
Let's consider the case when n = 2.
Let the two distinct positive numbers be a and b.
The arithmetic mean (A1) of a and b is given by A1 = (a + b)/2.
The geometric mean (G1) of a and b is given by G1 = sqrt(a*b).
The harmonic mean (H1) of a and b is given by H1 = 2ab/(a + b).
Now, let's consider the case when n = 3.
Let the three distinct positive numbers be a, b, and c.
The arithmetic mean (A2) of a, b, and c is given by A2 = (a + b + c)/3.
The geometric mean (G2) of a, b, and c is given by G2 = (a*b*c)^(1/3).
The harmonic mean (H2) of a, b, and c is given by H2 = 3/(1/a + 1/b + 1/c).
We can see that as n increases, the formulas for the arithmetic, geometric, and harmonic means become more complex.
Let the two distinct positive numbers be a and b.
The arithmetic mean (A1) of a and b is given by A1 = (a + b)/2.
The geometric mean (G1) of a and b is given by G1 = sqrt(a*b).
The harmonic mean (H1) of a and b is given by H1 = 2ab/(a + b).
Now, let's consider the case when n = 3.
Let the three distinct positive numbers be a, b, and c.
The arithmetic mean (A2) of a, b, and c is given by A2 = (a + b + c)/3.
The geometric mean (G2) of a, b, and c is given by G2 = (a*b*c)^(1/3).
The harmonic mean (H2) of a, b, and c is given by H2 = 3/(1/a + 1/b + 1/c).
We can see that as n increases, the formulas for the arithmetic, geometric, and harmonic means become more complex.
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Let A1, G1, H1 denote the arithmetic, geometric and harmoni c means, respectively, of two distinct positive numbers. For n ≥ 2, Let An – 1 and Hn – 1 have arithmetic, geometric and harmonic means as An, Gn, Hn respectivelya)H1 > H2 > H3 > ........b)H1 < H2 < H3 < ........c)H1 > H3 > H5 > .....and H2 < H4 < H6 < ........d)H1 < H3 < H5 < .....and H2 > H4 > H6 > ........Correct answer is option 'B'. Can you explain this answer?
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Let A1, G1, H1 denote the arithmetic, geometric and harmoni c means, respectively, of two distinct positive numbers. For n ≥ 2, Let An – 1 and Hn – 1 have arithmetic, geometric and harmonic means as An, Gn, Hn respectivelya)H1 > H2 > H3 > ........b)H1 < H2 < H3 < ........c)H1 > H3 > H5 > .....and H2 < H4 < H6 < ........d)H1 < H3 < H5 < .....and H2 > H4 > H6 > ........Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Let A1, G1, H1 denote the arithmetic, geometric and harmoni c means, respectively, of two distinct positive numbers. For n ≥ 2, Let An – 1 and Hn – 1 have arithmetic, geometric and harmonic means as An, Gn, Hn respectivelya)H1 > H2 > H3 > ........b)H1 < H2 < H3 < ........c)H1 > H3 > H5 > .....and H2 < H4 < H6 < ........d)H1 < H3 < H5 < .....and H2 > H4 > H6 > ........Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let A1, G1, H1 denote the arithmetic, geometric and harmoni c means, respectively, of two distinct positive numbers. For n ≥ 2, Let An – 1 and Hn – 1 have arithmetic, geometric and harmonic means as An, Gn, Hn respectivelya)H1 > H2 > H3 > ........b)H1 < H2 < H3 < ........c)H1 > H3 > H5 > .....and H2 < H4 < H6 < ........d)H1 < H3 < H5 < .....and H2 > H4 > H6 > ........Correct answer is option 'B'. Can you explain this answer?.
Let A1, G1, H1 denote the arithmetic, geometric and harmoni c means, respectively, of two distinct positive numbers. For n ≥ 2, Let An – 1 and Hn – 1 have arithmetic, geometric and harmonic means as An, Gn, Hn respectivelya)H1 > H2 > H3 > ........b)H1 < H2 < H3 < ........c)H1 > H3 > H5 > .....and H2 < H4 < H6 < ........d)H1 < H3 < H5 < .....and H2 > H4 > H6 > ........Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Let A1, G1, H1 denote the arithmetic, geometric and harmoni c means, respectively, of two distinct positive numbers. For n ≥ 2, Let An – 1 and Hn – 1 have arithmetic, geometric and harmonic means as An, Gn, Hn respectivelya)H1 > H2 > H3 > ........b)H1 < H2 < H3 < ........c)H1 > H3 > H5 > .....and H2 < H4 < H6 < ........d)H1 < H3 < H5 < .....and H2 > H4 > H6 > ........Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let A1, G1, H1 denote the arithmetic, geometric and harmoni c means, respectively, of two distinct positive numbers. For n ≥ 2, Let An – 1 and Hn – 1 have arithmetic, geometric and harmonic means as An, Gn, Hn respectivelya)H1 > H2 > H3 > ........b)H1 < H2 < H3 < ........c)H1 > H3 > H5 > .....and H2 < H4 < H6 < ........d)H1 < H3 < H5 < .....and H2 > H4 > H6 > ........Correct answer is option 'B'. Can you explain this answer?.
Solutions for Let A1, G1, H1 denote the arithmetic, geometric and harmoni c means, respectively, of two distinct positive numbers. For n ≥ 2, Let An – 1 and Hn – 1 have arithmetic, geometric and harmonic means as An, Gn, Hn respectivelya)H1 > H2 > H3 > ........b)H1 < H2 < H3 < ........c)H1 > H3 > H5 > .....and H2 < H4 < H6 < ........d)H1 < H3 < H5 < .....and H2 > H4 > H6 > ........Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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ample number of questions to practice Let A1, G1, H1 denote the arithmetic, geometric and harmoni c means, respectively, of two distinct positive numbers. For n ≥ 2, Let An – 1 and Hn – 1 have arithmetic, geometric and harmonic means as An, Gn, Hn respectivelya)H1 > H2 > H3 > ........b)H1 < H2 < H3 < ........c)H1 > H3 > H5 > .....and H2 < H4 < H6 < ........d)H1 < H3 < H5 < .....and H2 > H4 > H6 > ........Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
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