Question

write a recursive formula for the following arithmetic sequence. 16, 27, 38, 49, ...
$a_1 = 16$
$a_n = \square$ for $n \geq 2$

Explanation:

Step1: Find common difference

$d = 27 - 16 = 11$

Step2: Define recursive formula

For arithmetic sequences, $a_n = a_{n-1} + d$
Substitute $d=11$: $a_n = a_{n-1} + 11$

Answer:

$a_1 = 16$
$a_n = a_{n-1} + 11$ for $n \geq 2$