juanjg11gonzalez juanjg11gonzalez
  • 25-11-2019
  • Mathematics
contestada

:
Which represents the explicit formula for the arithmetic sequence an=15+5(n−1) in function form?

A
f(n)=5n+15
B
f(n)=n+20
C
f(n)=5n+10
D
f(n)=n+10

Respuesta :

carlosego
carlosego carlosego
  • 01-12-2019

For this case we have the following arithmetic sequence:

[tex]a_ {n} = 15 + 5 (n-1)[/tex]

To write in function form, we apply distributive property to the terms within parentheses:

[tex]f (n) = 15 + 5n-5[/tex]

Different signs are subtracted and the major sign is placed.

We simplify:

[tex]f (n) = 5n + 10[/tex]

Answer:

[tex]f (n) = 5n + 10[/tex]

Option C

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