Answer: 
<u>Step-by-step explanation:</u>
Term-to-term rule is also called the recursive rule.
The recursive rule for a geometric sequence is:
where

- r is the common ratio
The common ratio (r) is the second term divided by the first term <em>(which is the same ratio for each term divided by its previous term) </em>
In the given sequence {64, 32, 16, 8, 4}, 
So, the recursive rule is: 
Answer:
d (d^6-3)
the 6 is the exponent
Step-by-step explanation:
Answer:
steps below
Step-by-step explanation:
7, 11, 15, 19 ...
common difference (d) = 11-7 = 4
Recursive rule: A(n) = A(n-1) + d = A(n-1) + 4
Explicit rule: A(n) = A(1) + d * (n-1) = A(1) + 4 *(n-1) = 7 + 4 * (n-1) = 4n + 3
15th term: A(15) = 4 * 15 + 3 = 63
***NOTE: Please check that you wrote the numbers in the question/answer choices correctly. The answer to this problem doesn't match the answer choice. Thank you!
Remember that the slope intercept formula is:
y = mx + b
m is the slope
b is the y-intercept
First let's find the slope (m)
The formula to find slope using two points is
In this case...
^^^Plug these numbers into the formula for slope...

-2
^^^This is your slope
Here is what we have so far for the slope intercept formula:
y = -2x + b
Now we must find b
To do that you must plug in a point the line goes through in the x and y of the equation, then solve for b
For this explanation we will use the point (0,4) although you could also do it with point (3, -2) and you should get the same answer
4 = -2(0) + b
4 = 0 + b
4 = b
NOTE: For this particular problem you wouldn't technically need to go through the steps above to find b. In this case one of the points given, (0, 4) is already the y-intercept of the line (b)
y = -2x + 4
Hope this helped!
~Just a girl in love with Shawn Mendes