Respuesta :

Answer:

140

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 6 , thus

[tex]a_{24}[/tex] = 2 + (23 × 6) = 2 + 138 = 140

Answer:  a₂₄ = 140

Step-by-step explanation:

The formula for an arithmetic sequence is: [tex]a_n=a_1+d(n-1)[/tex]  where

  • a₁ is the first term of the sequence
  • d is the difference between terms
  • n is the term you are looking for

Given: a₁ = 2, d = 6, n = 24

a₂₄ = 2 + 6(24 - 1)

     = 2 + 6(23)

     = 2  + 138

    = 140

The 24th term is 140.