Respuesta :

Answer:

See below ~

Step-by-step explanation:

Finding the common difference :

  • 20 - 13
  • 7

Formula :

  • aₙ = aₙ₋₁ + 7
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Answer:

[tex]\large \boxed{\sf 7n + 6}[/tex]

Explanation:

Sequence: 13, 20, 27,...

Find common difference: second term - first term = 20 - 13 = 7

As it is an explicit arithmetic term:

⇒ a + (n - 1)d             (a is the first term, d is common difference)

⇒ 13 + (n -1)(7)

⇒ 7n - 7 + 13

⇒ 7n + 6