If $A, G \& H$ are respectively the A.M., G.M. & H.M. of three positive numbers $a, b \& c$, then the equation whose roots are $a, b \& c$ is given by

Statement 1: The sum of the first 30 terms of the sequence $1, 2, 4, 7, 11, 16, 22,\dots \dots ,$ is $4520$

Statement 2: If the successive differences of the terms of a sequence form an A.P., then general term of sequence is of the form $a{n}^2+bn+c$