Hi there!
The answer would be A. m = 45h
Hope this helps
3√24 + 2√3(√3-2√18) =
3(√(4*6) + 2√3( √3-2√(2*9)) =
3*2√6 + 2√3 ( √3 - (2*3) √2) =
6√6 + 2√3(√3 - 6√2) =
6√6 + 6 - 12√3*√2 =
6√6 + 6 - 12√(6) =
6 - 6√6 = 6(1-√6)
The initial value is 3. The common ratio is -9/3 = -3. The general formula is
.. an = a1*r^(n-1)
So, for your values, ...
.. an = 3*(-3)^(n -1)