Once you've defined n{\displaystyle n} as the largest integer you're adding, plug the number into the formula to sum consecutive integers: sum = n{\displaystyle n}∗(n{\displaystyle n}+1)/2.  For example, if you're summing the first 100 integers, plug 100 into n{\displaystyle n} to get 100∗(100+1)/2. If you're finding the first 20 integers, use 20 for n{\displaystyle n}. Work 20∗(20+1)/2 to get 420/2. Your answer will be 210. If the problems asks you to find the sum of only the even integers in a sequence starting with 1, you'll need to use a different formula. Plug your highest integer into n{\displaystyle n} so: sum = n{\displaystyle n}∗(n{\displaystyle n}+2)/4. For example, if the problem asks you to find the sum of even integers from 1 to 20, use 20 as n{\displaystyle n}. Your formula will be 20∗22/4. If the problems asks you to find the sum of only the odd integers, you'll need to find n{\displaystyle n} first. To find n{\displaystyle n}, add 1 to the highest number of the sequence. Then use it in this formula: sum = (n{\displaystyle n}+1)∗(n{\displaystyle n}+1)/4. For example, to add the odd integers from 1 to 9, add 1 to 9. The equation will now look like 10∗(10)/4. Once you've worked the equation, you'll get 10∗(10)/4 to equal 25. Once you've plugged in the integer, multiply the integer by itself plus 1, 2 , or 4 depending on your formula. Then divide your result by 2 or 4 to get the answer.  For the example of consecutive formula 100∗101/2, multiply 100 by 101 to get 10100. Divide this by 2 to get an answer of 5050. For the example of even integers 20∗22/4, multiply 20 by 22 to get 440. Divide this by 4 to get a result of 110.

Summary: Define your formula for consecutive integers. Set up a formula to calculate only even integers. Define a formula to find the sum of odd integers. Work any of your defined formulas to find the sum.


You'll need a small/large tennis racket(small ones are better, but make sure they're not too small!) and some patience. Once you've mastered that, start doing even higher and harder bounces! How many can you do? How high can you get the ball and? Try it! If the ball flies in a different direction, you'll have to run to keep up with it. Make sure there's plenty of room around you! Use all appropriate equipment and make sure you use your common sense at all times.

Summary: Note/s: Put the ball in the centre of the racket (the trick is to keep it in the middle) and bounce it up to your eye level and keep going without it falling onto the floor.


The flag should be folded in accordance to national tradition. It should not be crumpled or folded in such a way that results in creases or wrinkles. Store the flag in a spot where it will not come into contact with anything that can soil it. Some flags have different folding techniques for certain occasions. The US flag for example requires a triangle fold when used at a burial. When a flag is no longer in good condition, such as if it is torn, ripped, or badly soiled, it should no longer be raised or displayed. It should be disposed of in a dignified way as required by the nation in particular. If the flag is currently being flown, it should be removed and folded in standard respectful fashion.  The standard disposal technique for flag disposal in the US is a respectful burning.  Some organizations, such as the American Legion, will take old, worn flags and dispose of them appropriately. A flag should not be used to create apparel, bedding or drapery. Flags must be allowed to fall free, and not be drawn or sewn in ways that restrict this. The flag should not be used as a covering for the ceiling. This includes using the flag as a makeshift bag or purse! Most are familiar with not allowing flags to touch the ground. However, a flag should not teach anything that is beneath it. This includes the floor, water, parts of a balcony, or even merchandise. Desecration of a flag is punishable in some nations. In the US, desecrating the flag can lead to a fine or no more than one year imprisonment. Some nations requires individuals who carry a flag to not “dip” it, or turn it from an upright position to a horizontal position. This indicates deference to those present. Some nations practice this for national events, such as the Olympics, and others do not. The flag cannot be made a part of any sort of advertising, such as being embroidered on pillows or napkins. Staffs that are flying the flag may not also fly advertisements for a product or company. It should go without saying that a flag may not be altered to feature text or other imagery.


Summary: Fold and store the flag appropriately. Dispose of a worn flag appropriately. Do not use a national flag as a textile. Do not allow the flag to touch anything beneath it. Do not dip the flag. Do not use the flag for advertising.