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(a) Find x if the following numbers are in A.P(1) 4, x, 12(2) 2, (x − 1), 4(3) 6 − a, x, 6 + a(b) Find x if the following numbers are in G.P(1) 16, x, 25(2) 5, x + 1, 20(c) If A, G, H are A.M, G.M, and H.M of the following pair of numbers(a) 1 and 4(b) 2 and 8(c) 9 and 16Verify that (i) A, G, H are in G.P, (ii) A > G > H. |
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Answer» (a) Find x if the following numbers are in A.P (1) 4, x, 12 (2) 2, (x − 1), 4 (3) 6 − a, x, 6 + a (b) Find x if the following numbers are in G.P (1) 16, x, 25 (2) 5, x + 1, 20 (c) If A, G, H are A.M, G.M, and H.M of the following pair of numbers (a) 1 and 4 (b) 2 and 8 (c) 9 and 16 Verify that (i) A, G, H are in G.P, (ii) A > G > H. |
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