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The first term of an arithmetic sequence is six. The fifth term of the sequence is -14. th Write a rule that can be used to find the nth term.​

Respuesta :

Answer:

[tex]a_{n} = 11 - 5n[/tex]

Step-by-step explanation:

use the formula

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

-14 = 6 + (5 - 1)d

-14 = 6 + 4d

-20 = 4d

d = -5

[tex]a_{n} = 6 + (n - 1)(-5) = 6 - 5n + 5 = 11 - 5n[/tex]

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