If three positive numbers are inserted between 4 and 512 such that the resulting sequence is a G.P., which of the following is not among the numbers inserted?(a) 256(b) 16(c) 64(d) 128I had been asked this question in unit test.Question is from Geometric Progression(G.P.) in division Sequences and Series of Mathematics – Class 11

If three positive numbers are inserted between 4 and 512 such that the

1.	If three positive numbers are inserted between 4 and 512 such that the resulting sequence is a G.P., which of the following is not among the numbers inserted?(a) 256(b) 16(c) 64(d) 128I had been asked this question in unit test.Question is from Geometric Progression(G.P.) in division Sequences and Series of Mathematics – Class 11
Answer» Correct ANSWER is (d) 128 The best I can explain: Let G.P. be 4, G1, G2, G3, 512. =>a=4 and A5 = aR^4 = 512 => 4r^4 = 512 => r^4 = 512/4 = 128 => r = 4. G1 = a2 = a * r = 44 = 16. G2 = G1 r = 16 * 4 = 64. G3 = G2 * r = 64*4 = 256.

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