bobduncan3906 bobduncan3906
  • 12-09-2022
  • Mathematics
contestada


Find the missing term(s) of each arithmetic sequence. 104, □, 99, ...... .

Respuesta :

jimrgrant1 jimrgrant1
  • 12-09-2022

Answer:

a₂ = 101.5

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

given a₁ = 104 and a₃ = 99 , then

104 + 2d = 99 ( subtract 104 from both sides )

2d = - 5 ( divide both sides by 2 )

d = - 2.5

then

a₂ = 104 - 2.5 = 101.5

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