Jquiroz1 Jquiroz1
  • 08-08-2019
  • Mathematics
contestada

What is a14 of the sequence 2,11,20,…?

Respuesta :

jimrgrant1 jimrgrant1
  • 08-08-2019

Answer:

119

Step-by-step explanation:

Since the terms have a common difference (d) between consecutive terms then the terms are an arithmetic sequence with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

a₁ = 2 and d = 20 - 11 = 11 - 2 = 9, hence

[tex]a_{14}[/tex] = 2 + (13 × 9) = 2 + 117 = 119

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