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Complete the recursive formula of the geometric sequence -0.3, 0.9, -2.7, 8.1. ....

User Alder
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Answer:

(-1)ⁿ(3)ⁿ/10

Explanation:

The first term a = 0.3, the second term, ar = 0.9. The common ratio r = ar/a = 0.9/-0.3 = -3.

From the general term of a geometric series,

U = arⁿ⁻¹

= (0.3)(-3)ⁿ⁻¹

= (3/10)(-3)ⁿ⁻¹

= (-1)ⁿ⁻¹(3)(3)ⁿ⁻¹/10

= (-1)ⁿ(3)ⁿ/10

User Charles Gagnon
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