Write the recursive formula for the sequence below. 0,-7,-14,-21,ldots Show your work here Hint: To add a subscript (log_(2)) type "subscript","base" or press "- e_(1)= e_(n)=square

To find the recursive formula for the given sequence, we need to identify the pattern in the sequence and express it in terms of the previous term.<br /><br />Given sequence: $0, -7, -14, -21, \ldots$<br /><br />Step 1: Identify the pattern in the sequence.<br />We can observe that each term in the sequence is obtained by subtracting 7 from the previous term.<br /><br />Step 2: Write the recursive formula.<br />Let $e_n$ represent the nth term in the sequence.<br /><br />The first term, $e_1$, is given as 0.<br /><br />For $n > 1$, the recursive formula for the sequence is:<br />$e_n = e_{n-1} - 7$<br /><br />Therefore, the recursive formula for the given sequence is:<br />$e_1 = 0$<br />$e_n = e_{n-1} - 7$ for $n > 1$