stomper12
stomper12 stomper12
  • 06-10-2020
  • Mathematics
contestada

Use the explicit formula to determine the 50th term in the sequence:
2,5,8,11,14,...

Respuesta :

jimrgrant1 jimrgrant1
  • 06-10-2020

Answer:

149

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence.

5 - 2 = 8 - 5 = 11 - 8 = 14 - 11 = 3

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 3 , thus

a₅₀ = 2 + (49 × 3) = 2 + 147 = 149

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