zs6n7ghfth zs6n7ghfth
  • 18-09-2022
  • Mathematics
contestada

Consider the arithmetic sequence (87, 83, 79,75...)
A. Find common difference, d
B. Find explicit formula

Respuesta :

jimrgrant1 jimrgrant1
  • 18-09-2022

Answer:

see explanation

Step-by-step explanation:

A

the common difference d of the arithmetic sequence is

d = a₂ - a₁ = 79 - 83 = - 4

B

the explicit formula 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 = 83 and d = - 4 , then

[tex]a_{n}[/tex] = 83 - 4(n - 1) = 83 - 4n + 4 = 87 - 4n

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