Answer: C) 127, 152.4, 182.88, 219.456,...
Step-by-step explanation:
You can only find the sum of an infinite geometric sequence if it converges.
One criterion to see if the series converges is if:
aₙ < aₙ₋₁
This means that, as n increases, the value of the terms decreases.
This means that as n tends to infinity, aₙ tends to zero.
Then we only can find the sum of those series where the terms are decreasing.
in A, B and D the terms are decreasing, then we can find the sum of those 3 series.
Now in the case of C, the terms are increasing, then we can not find the sum of that series.
Answer:
There are 650 cannonballs
Step-by-step explanation:
If you look closely in the picture, you can see that:
- 1st row has 1 ball
- 2nd row has 4 balls
- 3rd row has 9 balls
- 4th row has 16 balls
etc. etc.
We can see that the number of balls is the square of the row number. There are a total of 12 rows. So, rest of the rows has:
- 5th row has 25 balls
- 6th row has 36 balls
- 7th row has 49 balls
- 8th row has 64 balls
- 9th row has 81 balls
- 10th row has 100 balls
- 11th row has 121 balls
- 12th row has 144 balls
If we add up all those, we get total number of balls:

There are 650 cannonballs
Answer:
Simplifying
5x + x = 54
Combine like terms: 5x + x = 6x
6x = 54
Solving
6x = 54
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '6'.
x = 9
Simplifying
x = 9
Step-by-step explanation:
Answer:
5.7 feet
Step-by-step explanation:
Total cloth area recquired to make a bag and a towel is 22.23 square feet
Given the area of the cloth recquired to make the bag is 5.13 square feet.
The area of cloth recquired to make the towel is = 22.23-5.13=17.1 square feet
given the height of the towel = 3 feet
let the length of the towel be x
We know that 
area=3x

therefore the length of the towel is 5.7 feet
Answer:
1st Picture: d = -16
2nd Picture: g = -13.8
Step-by-step explanation:
1st Picture: Divide both sides by -11 to balance both sides and get the answer.
2nd Picture: Subtract 1.2 from both sides.