find the nth term for 8, 17, 30, 47, 68, 93

Question

hi, i have homework on quadratic sequences and i just dont understand it, can someone answer and explain step by step.

thanks, a confused teen

p.s i dont know what category this is, so if i got it wrong, im sorry.

Answer 1

8,

17 = 8+8+1,

30 = 17+8+5,

47 = 30+8+9,

68 = 47+8+13,

93 = 68+8+17

thus,

122 = 93+8+21