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For a G.P., T1 = 2 and the product of the first three terms is 1000. Find the common ratio. |
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Answer» For a G.P., T1 = 2 ∴ a = 2 Now, T1 × T2 × T3 = a × ar × ar2 ∴ 1000 = 2 × 2r × 2r3 ∴ 1000 = 8r3 ∴ r3 = 1000/8 = 125 = (5)3 (∴ Index are equal then base are equal) Hence, common ratio r = 5 |
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