Question

Write an explicit formula for an , the nth term of the sequence 29, 19, 9, ....

Answer 1

Answer:

$a_{n}$ = 39 - 10n

Step-by-step explanation:

There is a common difference between consecutive terms , that is

19 - 29 = 9 - 19 = - 10

This indicates the sequence is arithmetic with nth term ( expicit formula )

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 29 and d = - 10 , then

$a_{n}$ = 29 - 10(n - 1) = 29 - 10n + 10 = 39 - 10n