MWilson21218 MWilson21218
  • 13-09-2021
  • Mathematics
contestada

Pls helpp I’m finna fail! Find the missing terms in each arithmetic sequence
4,__,__,-14

Respuesta :

jimrgrant1 jimrgrant1
  • 13-09-2021

Answer:

4, - 2, - 8, - 14

Step-by-step explanation:

The nth 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 = 4 and a₄ = - 14 , then

a₁ + 3d = - 14 , that is

4 + 3d = - 14 ( subtract 4 from both sides )

3d = - 18 ( divide both sides by 3 )

d = - 6

Then

a₂ = a₁ - 6 = 4 - 6 = - 2

a₃ = a₂ - 6 = - 2 - 6 = - 8

a₄ = a₃ - 6 = - 8 - 6 = - 14

The missing terms are - 2 and - 8

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