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

(-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