Question

Write an expression for the nth term of... 2,1,0,-1...

Answer 1

Answer:

$a_{n}$ = 3 - n

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence, that is

1 - 2 = 0 - 1 = - 1 - 0 = - 1

This indicates the sequence is arithmetic with n th term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = - 1 , thus

$a_{n}$ = 2 - 1(n - 1) = 2 - n + 1 = 3 - n