Question

Write a recursive definition for the sequence 11, 8, 5, 2,…

I know that the definition is
\[\large a_n=a_{n-1}-3\]

I just don't know how the definition works please explain

Answer 1

So what is the first term?

Answer 2

11 right?

Answer 3

yup so let \(a_n=11\)

Answer 4

sorry sorry that's in your location but the n would actually be n-1

Answer 5

if you follow the sequence the a_n-1 that yields 11 would be 14

Answer 6

so you would have 11=14-3

Answer 7

then next term is 8=11-3

Answer 8

5=8-3

Answer 9

and so on and so on, do you follow?

Answer 10

Ah I see now thanks!

Answer 11

np have a good one!