nickibarni nickibarni
  • 01-03-2020
  • Mathematics
contestada

Represent the arithmetic series using the recursive formula 94, 87, 80, 73,

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 09-03-2020

Answer:

[tex]a_1 = 94 \\ a_n = a_ {n - 1} - 7[/tex]

Step-by-step explanation:

The given arithmetic sequence is 94, 87, 80, 73,...

The first term is

[tex]a_1=94[/tex]

The common difference is

[tex]d = 87 - 94[/tex]

[tex]d = - 7[/tex]

The recursive formula is given by:

[tex]a_n = a_ {n - 1} + d[/tex]

We substitute the common difference to obtain:

[tex]a_n = a_ {n - 1} - 7[/tex]

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