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

ok thats very interesting