The rule to get from one term to the next in a sequence is x_(n+1)=3x_(n)+8 If x_(1)=4 work out the value of x_(3)

## Step1: Identify the recursive formula given in the problem which defines the steps to get from one term to another.***The recursive formula here is:*** .## Step2:From step1, we realize that to evaluate , we have to calculate first. Plug (since given ) into the recursive formula.### The formula applied here for first calculation is .## Step3:Calculate based on this formula. Given that , substitute it into the above formula to find .After obtaining , use this to calculate .### The formula applied here for second calculation is .By substitution using multiple steps, step-by-step, and performing the arithmetical operation, can be obtained.