Answer: ⁻¹¹/₆ = - 1 ⁵/₆
Step-by-step explanation:
If we rewrite each term of the sequence to a common denominator then it makes it easier to see the pattern:
³/₂ , ²/₃ , ⁻¹/₆, -1 , ___
⁹/₆ , ⁴/₆ , ⁻¹/₆ , ⁻⁶/₆ , ___
This makes the pattern Xₙ = ⁹/₆ - ⁵⁽ⁿ⁻¹⁾/₆
∴ the missing term is ⁻¹¹/₆
