Question

If a1 = 1 and An = (An-1)² - 2
Then find the value of A^4

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Answer 1

If a1 = 1 and An = (An-1)² - 2, then the value of A^4 is calculated by multiplying the previous result four times. Therefore, A^4 = (A^3)² - 2 = ((A^2)³ - 2)² - 2 = (((A¹)⁴ - 2)³ - 2)² - 2 = ((1³ - 2)³ - 2)² - 2 = -14.