Question

Determine the general rule for the sequence 19;11;3;.....​

Answer 1

Answer 3.0/528 claudiasai 88-2n + 2927,25,23,21,19- 2 difference- 2n + 29-2 x (1 ) + 29 =27-2 x (3) +29 =23

Explanation:

Write a recursive formula for each sequence. 3. 1, 6, 11, 16, ... SOLUTION: ... Check for a common ratio by dividing each term by the term that precedes it. = 3 ;. = 3 ; ... 19. 100, 80, 64, 51.2, ... SOLUTION: Subtract each term from the term that follows it. ... Patrick thinks that the sequence can be written as a recursive formula​.

Answer 2

`a_(n)` = 27 - 8n

Explanation:

There is a common difference between consecutive terms, that is

11 - 19 = 3 - 11 = - 8

This indicates the sequence is arithmetic with nth term

`a_(n)` = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 19 and d = - 8 , then

`a_(n)` = 19 - 8(n - 1) = 19 - 8n + 8 = 27 - 8n ← general rule