(score for question 3: of 4 points) 1. the sequence 6, 18, 54, 162, … shows the number of pushups kendall did each week, starting with her first week of exercising. (a) what is the recursive rule for the sequence? (b) what is the iterative rule for the sequence?

this is a geometric sequence with common ratio r

r = = = = 3

(a)

to obtain a term in the sequence multiply the previous term by 3

= 3 ← recursive rule

(b)

the n th term of a geometric sequence is

=

where is the first term and r the common ratio

= 6 × ← explicit rule

i believe that the answer is y+6=1/3(x+2)