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Geometric mean

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How to solve these 3 question 1. If x, y, z are in A.P. and x, y, (z + 1) are in G.P. then (a) (x − z)² = 4x (b) z² = (x − y) (c) z = x − y (d) none of these 2. The numbers x, 8, y are in G.P. and the numbers x, y, −8 are in A.P. The value of x and y are (a) (−8, −8) (b) (16, 4) (c) (8, 8) (d) none of these 3. The nth term of the series 16, 8, 4, .... in 1/2ⁿ. The value of n is (a) 20 (b) 21 (c) 22 (d) none of these

Gurukanta Singh

CA Foundation

★ 7K+

12-May-25 11:02

Answers (3)

Eq 1 - x + z / 2 = y for AP Eq 2 - y power 2 = xz for gp Substitute value of y in Eq 2 from Eq 1 and you will get answer as option a Q 2 substitute & check ans is b Q 3 not sure if q is correctly framed - pls recheck

Sriram Somayajula

Admin

12-May-25 13:43

For Q 3 1/2¹⁷

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Gurukanta Singh

CA Foundation

★ 7K+

12-May-25 13:46

Thread Starter

Gurukanta Singh

For Q 3 1/2¹⁷

Q has spelling mistakes nth term is 1 / 2 power 17 what is n ans 22 check image for solution

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Sriram Somayajula

Admin

12-May-25 13:51

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