Find the pattern and state the next number. 1 1/2, 2/3, -1/6, -1, ???
help is highly appreciated :D

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

594 square inches

step-by-step explanation:

vote !

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i