A1 = 2
An+1 = - 4 An + 2
For the 4th term, put n = 3
It is easier to find A2, then A3 and then A4
A2 = - 4 A1 + 2 = -4 * 2 +2 = -6
A3 = - 4 A2 + 2 = 24 + 2 = 26
A4 = - 4 * 26 + 2 = -102
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3) cost after one year = 1.03 * $1500
cost after two years = 1.03 (1.03 * $1500)
cost after 3 years = 1.03 * [ 1.03 * (1.03 * $1500) ] = 1.03³ * $1500
= $ 1639.09