Question

Find the nth term of the sequence
0, 5, 14, 27, 44......​

Answer 1

aₙ = 2*n*n - n -1

Explanation:

a₁ = 0

a₂ = 5 = 2*2*2 -2-1 = 8-3 = 5

a₃ = 2*3*3 -3-1 = 18-4 =14

a₄ = 2*4*4 - 4-1 = 32-5 =27

......

aₙ = 2*n*n - n -1