The explicit rule for a sequence is given. an=3n+1 what is the recursive rule for the sequence?
a1=4; an=an−1+1
a1=3; an=an−1+1
a1=1; an=an−1+3
a1=4; an=an−1+3

a1 =4

an = an-1 +3

Step-by-step explanation:

an = 3n+1

The common difference is the coefficient on the n term

d = 3

We will add 3 each time

an = an-1 +3

Let n =1

The 1st term is

a1 = 3(1) +1

a1 =4

Recursive Rule:

D is correct

Step-by-step explanation:

We are given explicit rule,

Put n=1

Now, we will find recursive rule

Put n=n-1

Subtract the equation

Hence, The recursive rule is