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20. Geometric Progressions
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Q5 of 176 Page 21

If a is the G.M. of 2 and find a.

GM = √xy


Let X = 2 and Y =


GM =


=


∴


More from this chapter

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3

Insert 5 geometric means between and .

4

Find the geometric means of the following pairs of numbers :

i. 2 and 8


ii. a3b and ab3


iii. –8 and –2

6

Find the two numbers whose A.M. is 25 and GM is 20.

7

Construct a quadratic in x such that A.M. of its roots is A and G.M. is G.

Questions · 176
20. Geometric Progressions
1 2 3 3 3 3 3 3 4 5 6 6 6 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 6 7 8 9 1 1 1 1 1 2 2 2 2 2 2 2 2 2 3 3 3 4 4 4 4 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 1 1 1 1 1 2 3 4 5 6 7 8 8 8 8 9 10 11 12 13 1 2 3 4 5 6 7 8 8 8 8 8 9 9 9 10 10 10 11 11 11 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 8 9 10 11 12 13 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
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