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Algebra-13- Geometric Progression and Harmonic Progression || Quantitative Aptitude || CAT 2021 || 27 September

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Question 1

Third term of a geometric progression is 4. The product of the first five terms is:

Question 2

The sum of the infinite series 1 – 5a + 9a2 – 13a3 + 17a4 – … …, where |a| < 1, is

Question 3

A man starts walking from origin towards positive direction of x-axis such that the distance covered by him in a minute is reduced by r times, after every minute. If man covered 1 meter distance in the first minute then find the range of values of r such that man could only cover a distance varying from 3/2 to 2 meters in ∞ time.

Question 4

If a, b and c are in a geometric progression then is equal to:

Question 5

If a, b, c are is in harmonic progression, then  equals

Question 6

If p, q, r are in one geometric progression and a, b, c are in another geometric progression, then ap, bq, cr are in

Question 7

If 2, x,  are in harmonic progression then find the value of x.

Question 8

If x, y and z are geometric progression, then logx10, logy 10and logz 10 are in

Question 9

If three positive real numbers a, b and c (c>a) are in Harmonic Progression, then is equal to:

Question 10

If, and are in geometric progression, which of the following holds true?
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