sophandnoel15 sophandnoel15
  • 21-11-2018
  • Mathematics
contestada

Write a recursive and explicit formula for the following arithmetic sequences-5,-2,1,4

Respuesta :

jcherry99
jcherry99 jcherry99
  • 21-11-2018

You are adding three to the last term to get to the next one.

a = - 5

d = 3

Explicit Formula

tn = a + (n - 1)*d

Example

t4 = -5 + (4 - 1)*3

t4 = -5 +3*3

t4 = -5 + 9

t4 = 4 which is exactly what you show.

Recursive formula

f(n) = f(n - 1) + 3

Example

n = 5

f(5) = f(4) + 3

f(5) = 4 + 3

f(5) = 7

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