Question

write a recursive formula for $a_n$, the $n^{th}$ term of the sequence 20, 25, 30, 35, .... answer attempt 1 out of 2 $a_1=square$ $a_n=square$ $a_{n - 1}$

Explanation:

Step1: Identify first - term

The first term of the sequence 20, 25, 30, 35, ... is 20, so $a_1 = 20$.

Step2: Find the common difference

The common difference $d$ between consecutive terms is $25 - 20=5$. In a recursive formula for an arithmetic sequence, $a_n=a_{n - 1}+d$. Here, $d = 5$, so $a_n=a_{n - 1}+5$.

Answer:

$a_1 = 20$
$a_n=a_{n - 1}+5$