Statement – 1: If one A.M. ‘A’ and two G.M.’s p and q be inserted between any  
two numbers, then  $p^3+q^3=2Apq$
Statement – 2: If a,b,c are non zero real numbers such that  $3(a^2+b^2+c^2+1)=2(a+b+c+ab+bc+ca)$ , then a,b,c are in A.P. as well as   in G.P.
Statement -3: For $n\in N,2^n>1+n\sqrt{\left(2^{n-1}\right)}$ ,  $n\ne 1$
Statement 4 : Let general term of a G.P. with common ratio r be  ${\text{T}}_{k+1}$ and general term of another  G.P. with common ratio r be $T_{k+1}^{\text{'}}$  then the series whose general term $T_{k+1}^{\text{'}\text{'}}=T_{k+1}+T_{k+1}^{\text{'}}$  is also a G.P. with common ratio r.
Which of the following must be truth value of above statements in that order.