If \(a\left (n+1 \right )=1/2*a\left (n \right)+10\),and a(0)=50,find an expression for a(n) with n.
a(0)=50
a(1)=1/2 x 50 + 10 = 35
a(2)= 1/2 x 35 + 10 = 55/2
a(3)= 1/2 x 27.5 + 10 =75/4
a(n) = \(50 - 30\overbrace{(1/2+1/4+1/8+.......)}^{n}\)= \(50 - 30(\dfrac{2^n-1}{2^n})\)
+584 
