Question

Complete the recursive formula of the geometric sequence-0.56,-5.6,-56,-560

Answer 1

The full recursive formula can be defined by these two parts

`\begin{cases}a_1 = -0.56\\ a_n = 10*a_(n-1)\end{cases}`

The top part tells us the first term is -0.56, while the second part says to get each new term we multiply the prior term by 10

second term = 10*(first term) = 10*(-0.56) = -5.6

third term = 10*(second term) = 10*(-5.6) = -56

etc etc

Answer 2

-5600
A geometric sequences is when the previous term is used to find the next. In this case you multiply 10 to the previous term to find the next giving u -5600