yasmin7565 yasmin7565
  • 23-09-2020
  • Mathematics
contestada

What is the 50th term of Arithmetic sequence 9,2,-5

Respuesta :

jimrgrant1 jimrgrant1
  • 23-09-2020

Answer:

- 334

Step-by-step explanation:

There is a common difference between consecutive terms in the given sequence, that is

d = 2 - 9 = - 5 - 2 = - 7

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 = 9 and d = - 7 , thus

[tex]a_{50}[/tex] = 9 + (49 × - 7) = 9 - 343 = - 334

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