Respuesta :

absor201

Answer:

The formula for the arithmetic sequence will be:

  • [tex]a_n=-7n+6[/tex]

Step-by-step explanation:

Given

  • a₁ = -1
  • d = -7

  • We know that we can get the next term of the Arithmetic sequence by taking the current term and adding the common difference.

so

a₂ = a₁ +  d

    = -1 + (-7)          ∵ a₁ = -1

    = -1 - 7

     = -8

similarly,

a₃ = a₂ + d

     = -8 + (-7)

     = -8 - 7

      = -15

and so on

Thus, the Arithmetic sequence becomes

a₁, a₂, a₃, ...

-1, -8, -15, ...

as

  • a₁ = -1
  • d = -7

Therefore, An arithmetic sequence has a constant difference d and is defined by

[tex]a_n=a_1+\left(n-1\right)d[/tex]

substituting a₁ = -1 and d = -7

[tex]a_n=-7\left(n-1\right)-1[/tex]

[tex]a_n=-7n+6[/tex]

Hence, the formula for the arithmetic sequence will be:

  • [tex]a_n=-7n+6[/tex]

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