The sum of the first n terms of an arithmetic series is given by Sₙ = n(2n+3). The first term of the series is a.
(a) Show that a = 5
(b) Find the common difference of the series.
(c) Find the 12th term of the series.
Given that 1 + Sₚ ₊ ₄ = 2Sₚ
(d) find the value of p.