For a geometric sequence with common ratio

, we have

that is, the

-th term in the sequence is the product of the previous term and the common ratio

. So

Then the sum of the first 7 terms is


Notice that

so we can subtract this modified sum from

to get

We're told that

and

, so the sum of the first 7 terms is
24 video games.
First you subtract $72 from $1,128 then you divide $43 from $1,056 and you get 24.5581395
So the most video games jasmine can buy is 24.
<h3>
Answer:</h3>
- left picture (bottom expression): -cot(x)
- right picture (top expression): tan(x)
<h3>
Step-by-step explanation:</h3>
A graphing calculator can show you a graph of each expression, which you can compare to the offered choices.
_____
You can make use of the relations ...
... sin(a)+sin(b) = 2sin((a+b)/2)cos((a-b)/2)
... cos(a)+cos(b) = 2cos((a+b)/2)cos((a-b)/2)
... cos(a)-cos(b) = -2sin((a+b)/2)sin((a-b)/2)
Then you have ...

and ...
