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3 years ago

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

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

5 0

Answer:

(-1)ⁿ(3)ⁿ/10

Step-by-step 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

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Required

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