Please answer the following questions for T(n). T(n)=4+6+8++2n (a) With the help of the following summation formula of arithmetic series, simplify T(n) Arithmetic series: k=1nk=1+2++n=2n(n+1) Hint: T(n)=4+6+8++2n=2{2+3+4++n} (b) Use the induction method to prove the result you get for question (a) is correct for any n2. (c) Based on the result you get for question (a), obtain correct notation for T(n)