Question

How do I determine if the following is arithmetic sequence? tn=8-2n

Answer 1

ok so tell me what to do

Answer 2

looool okaayy

Answer 3

All arithmetic series are of the form \[T_n=a_0 +(n-1)*d\]here d is the common difference and a_0 is the first term, see if you can make the expression fit this general form.

Answer 4

but how do i do that from tn=8-2n

Answer 5

A more analytic approach is: Put n=0, find Tn. Then n=1 and find Tn, repeat till n= 5. Now inspect the sequence obtained. It starts from 8 and successively decreases by a constant difference of 2. Is it a arithmetic sequence?

Answer 6

okay I got it ! Thank you so much :)

Answer 7

You are welcome :)