Respuesta :

iamanxious

Answer :

  • 10th

Explanation :

The nth term for an arithmetic progression is given by,

  • a +( n -1 )d

where,

  • a = first term of the series (23)
  • n = term to find (?)
  • d = common difference (44 - 23 = 21)

plugging in the values,

  • 23 + (n -1)21 = 212
  • 23 + 21n - 21 = 212
  • 21n +2 = 212
  • 21n = 212 - 2
  • 21n = 210
  • n = 210/21
  • n = 10

thus, 212 is the 10th term of the sequence.