Question

Please give me only the answer cuz I cancelled the answer by mistake

Answer 1

`a_n=a_(n-1)\text{ + 2}`Step-by-step explanation:

The sequence: 55, 57, 59, 61

The recursive formula is in the form:

`a_n=a_(n-1)\text{ + d}`

d = common difference

d = next term - previous term

d = 57 - 55 = 2

d = 59 - 57 = 2

d = 61 - 59 = 2

Hence, common difference = d = 2

Substitute 2 for d in the formula:

`\begin{gathered} a_n=a_(n-1)\text{ + 2} \\ \\ \text{The recursive formula:} \\ a_n=a_(n-1)\text{ + 2} \end{gathered}`