Answer:
Step-by-step explanation:
We are given the recursive formula:
This is the recursive formula for an arithmetic sequence.
The explicit formula for an arithmetic sequence is given by:
Where d=3 is the common difference.
We plug in this values to get:
We now expand and simplify to get:
We simplify to obtain:
That’s a good savings plan
Answer:
Step-by-step explanation:
The slope is given by the formula:
We can choose any two points in the table to find the change y and change in x .
Note that the order is very important.
Simplify to get:
You take the difference between any two y and divide by the difference in the corresponding x. The number should be the same always for a straight line. That's your slope. A fancy way of writing it is dy/dx
so: (10-2)/(3-1) = 8/2 = 4 (using the first two points)
or: (26-2)/(7-1) = 24/6 = 4 (using the first and the last)
try it out for other combinations. The answer is 4 every time.