1.

For a G.P., T1 = 2 and the product of the first three terms is 1000. Find the common ratio.

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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