miguelf2207 miguelf2207
  • 14-04-2021
  • Mathematics
contestada

Write an explicit formula for an, the n^th term of the sequence 22, 20, 18, ....

Respuesta :

Muscardinus Muscardinus
  • 19-04-2021

Answer:

 [tex]a_n=a+(n-1)d[/tex]

Step-by-step explanation:

The given sequence is 22, 20, 18, ...

We need to find the explicit formula for an.

First term is 22

Second term = 20

Third term = 18

We can write the formula as :

[tex]a_n=a+(n-1)d[/tex]

Where

a is 22

d is common difference = 20-22 = -2

Forth term will be :

[tex]a_4=22+(4-1)(-2)\\\\=22-6\\\\=16[/tex]

Hence, the formula is [tex]a_n=a+(n-1)d[/tex].

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