In an arithmetic sequence, the third term is 1 and the ninth is 49. What is the explicit formula for the sequence?

A) a n = 8n − 15
B) a n = −8n − 15
C) a n = 8n − 23
D) a n = −8n − 23​

Respuesta :

Answer:

C

Step-by-step explanation:

A) a(n) = 8n - 15

this is incorrect because if n = 3, then a = 9 not 1.

B) a(n) = -8n-15

this is incorrect because if n = 3, then a = -39 not 1.

C) a(n) = 8n-23

this is correct because if n = 3, then a = 1, and if n = 9, then a = 49.

D) a(n) = -8n-23

this is incorrect because if n = 3, then a = -47 not 1.

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