13

The explicit form for the pattern 4, 9, 14, 19, ... is an = 5n - 1. What would the recursive rule be

for this sequence given a, = 4?

A.

y = 5x - 1

B.

an=5an-1

C.

an = an-1 + 5

D.

an = an-1 - 1

D

Step-by-step explanation:

This is an arithmetic sequence since there is a common difference between each term. In this case, adding

5

to the previous term in the sequence gives the next term. In other words,

a

.

This is the formula of an arithmetic sequence.

a n = a 1 + d (n - 1) Substitute in the values of a 1 = 4 and d = 5. a n = 4 + (5) (n - 1) Simplify each term. Tap for more steps ... a n = 4 + 5 n - 5 Subtract 5 from 4. a n = 5 n - 1