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MCQ: Harmonic Progressions - Question 1

are in HP, then which of the following is/are correct?

1. a, b, c are in AP

2. (b + c)^{2}, (c + a)^{2}, (a + b)^{2 }are in GP. Select the correct answer using the code given below.

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MCQ: Harmonic Progressions - Question 2

If 1/4, 1/x, 1/10 are in HP, then what is the value of x?

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MCQ: Harmonic Progressions - Question 3

If a, b, c are in geometric progression, then log_{ax} x, log_{bx} x and log_{cx} x are in

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MCQ: Harmonic Progressions - Question 4

Three numbers 5, p and 10 are in Harmonic progression if p = ?

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MCQ: Harmonic Progressions - Question 6

The n^{th} terms of the two series 3 + 10 + 17 + ... and 63 + 65 + 67 + .... are equal, then the value of n is:

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MCQ: Harmonic Progressions - Question 7

If x^{a} = y^{b} = z^{c} and x, y and z are in GP, then a, b and c are in

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MCQ: Harmonic Progressions - Question 10

If the roots of the equation a (b - c) x^{2} + b (c - a) x + c (a - b) = 0 are equal, then which one of the following is correct?

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MCQ: Harmonic Progressions - Question 11

The arithmetic mean and geometric mean of two numbers are 14 and 12 respectively. What is the harmonic mean of the numbers?

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MCQ: Harmonic Progressions - Question 12

If a_{1}, a_{2}, a_{3}, ........ are in H.P., then the expression a_{1}a_{2} + a_{2}a_{3} +...... + a_{n - 1} a_{n} is equal to:

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MCQ: Harmonic Progressions - Question 13

If the first two terms of a H.P are 2/5 and 12/13 respectively, then the largest term is

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MCQ: Harmonic Progressions - Question 15

If H is the harmonic mean of numbers 1, 2, 2^{2}, 2^{3}, ......2^{n-1} what is n/H equal to?

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