Answer:
S = 8
Step-by-step explanation:
An infinite geometric series is defined as limit of partial sum of geometric sequences. Therefore, to find the infinite sum, we have to find the partial sum first then input limit approaches infinity.
However, fortunately, the infinite geometric series has already set up for you. It’s got the formula for itself which is:
We can also write in summation notation rather S-term as:
Keep in mind that these only work for when |r| < 1 or else it will diverge.
Also, how fortunately, the given summation fits the formula pattern so we do not have to do anything but simply apply the formula in.
Therefore, the sum will converge to 8.
Please let me know if you have any questions!
-(7x + 4)- 2x + 2 = 52
Distribute the negative sign:
-7x -4 - 2x + 2 = 52
Combine like terms:
-9x - 2 = 52
Add 2 to both sides:
-9x = 54
Divide by -9:
x = -6
Answer: x = -6
Number 5 is 110 degrees because it is the same angle as m<2.
Now, to find m<7
A straight line is 180 degrees. One side is already given. m<8+m<7 = 180 degrees. So 180-110=70.
Answers:
4. m<7= 70 degrees
5. m<8= 110 degrees
I don't see any choices so I am going to give you what I think the answer would be. The rule would be 3x. That would be you could plug any number in and they would give you the sequence. Example:
x = 1
x times 3 = 3.
We could even find future things like:
x = 10
x times 10 = 30.
If we were doing it based on the algebraic expression it would be "multiplication" because we are multiplying. Hope this helped. :)
<h3>
Answer: $7,853.16</h3>
Work Shown:
A = P*(1+r/n)^(n*t)
A = 4750*(1+0.10/2)^(2*10)
A = 12,603.164099436
A = 12,603.16
That represents the account balance after 10 years. To find the interest only, subtract off the deposit amount.
interest = A-P = 12,603.16 - 4,750 = 7,853.16
