Question

What number belongs in the blank space in the recursive formula?

Answer 1

The recursive formula of the arithmetic sequence is

`a_n=a_(n-1)+d`

Where d is the common difference between each 2 consecutive terms

The explicit form of the arithmetic sequence is

`a_n=a+(n-1)d`

a is the first term

d is the common difference

Since the given explicit form of the sequence is

`a_n=13+(n-1)6`

Then

a = 13

d = 6

The recursive form of the sequence should be

`a_n=a_(n-1)+6`

The missing number is 6

The answer is D