Question

Question 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? [ No Plagiarism and I Will Mark Brainliest] Only answer if you truly know how to.​

Answer 1

Answer:

See explanation

Step-by-step explanation:

Now we have to know what type of sequence that 6, 18, 54, 162,... is

Recall that for a geometric sequence, the common ratio (r) is constant

r = 18/6 = 3

r = 54/18 = 3

r = 162/54 = 3

The recursive formula for the geometric sequence is; $a_{n} = 3 a_{n-1}$

The iterative formula is $a_{n} = a_{o} .3^{n}$

Answer 2

Answer:

Sequence: 6, 18, 54, 162, etc.

This is geometric because each number is being multiplied to get the next. The common ratio (r) does not change for this type of sequence.  

r = 18/6 = 3, r = 54/18 = 3, r = 162/54 = 3.

Recursive formula=3an-1.

Iterative formula=a3^2.

Step-by-step explanation: