depeshmugar
depeshmugar depeshmugar
  • 07-12-2018
  • Mathematics
contestada

what is the recursive formula for this arithmetic sequence -16,-7,2,11,

Respuesta :

MrBillDoesMath MrBillDoesMath
  • 07-12-2018

Hello from MrBillDoesMath!

Answer:

a(n) = -16                    when n = 1

a(n) = a(n-1) + 9          when  n > 1 ( i.e. n = 2,3,4)



Discussion:

First observation:

-16 + 9 = -7

-7  + 9 = 2

2   + 9 = 11

So the pattern seems to be gotten by addition of 9 to each number. The recursive formula therefore is this:

a(n) = -16                    when n = 1

a(n) = a(n-1) + 9         where  n > 1 ( i.e. = 2,3,4)


Thank you,

MrB


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