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.
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One-sentence 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.

Q: Just about everyone is on social media these days. You can likely use tools like Facebook or Instagram to find the old friend you are looking for. Typing their name into the search area of the social media site may bring up their name and give you a way to get in touch with them. Some people make themselves private on social media, meaning that the general public can’t view their profiles. Still, you should be able to send them a friend request or write a brief message. Joining an alumni association may help you find a friend you went to high school or college with, if they are also a part of the association. Joining may give you access to their contact information, which could allow you to find them.  Go to your school’s website and look for the link to the alumni association. You can also call your school and ask about joining the association. These types of organizations typically have get-togethers that allow you to interact with people you went to school with, giving you the opportunity to find the person you are looking for, as well as others you may have lost contact with. Other people you know may still be in contact with the old friend you are looking for. Reaching out to mutual friends via social media may help you get in touch. You may also be able to reach out to connections to obtain their contact information. Use social media or search engines to find their mutual friends or family members. Make sure you introduce yourself in a way that helps them remember you. If not, they will likely be afraid or hesitant to give you the information you’re looking for. A few different websites are available that help you get in touch with people. These sites are typically a bit more useful than general search engines are, as they often give you more specific information and not as many results. Free sites are helpful, but sites that require payment often give you more contact information. For example, you can try the free sites wink.com, zabasearch.com, and pipl.com to find your friend. Or you can pay to use peoplefinders.com and intelius.com to potentially receive more useful information.
A: Use social media. Contact an alumni association. Reach out to other acquaintances. Use a people search website.

Article: Adults walk straight, and slower than teenagers. Teenagers tend to walk with life. Older people do not while adults tend to look around slower than most teenagers. Try to appear as a young college student at most and be realistic. Confidence is key. People 18 and over are usually more confident than younger teenagers when speaking in public and interacting with one another. Carry out the conversation taking longer breaths.  Go home at the time you'd usually arrive home. If a parent asks you what you did in school, calmly say something along the lines of, "School was alright. We read a couple of chapters in _________ and I ran around a bit in P.E."
Question: What is a summary of what this article is about?
Behave. If an adult speaks to you, it is best to smile slightly and nod. Do not be afraid to speak and sharpen your vocabulary at tad bit. Never return to school the day you ditched school.

Article: Romantic love involves a fondness for the other person, but it's accompanied by a deeper attraction in which you want to develop a sexual/intimate relationship with them. This goes one step beyond typical feelings of friendship or companionship.  For example, with romantic love, you like being around the person, but you are also physically attracted to the person and feel aroused by them. Romantic love is a step further than just friendship, which may be considered platonic love. Chronicle your thoughts and feelings on paper to gain a better understanding of what you want. Review journal entries after a few days to spot themes or patterns. When you write, are you constantly referring to the person? Do you mention feeling jealousy when this person is with another love interest? Do you find yourself worrying about your appearance or trying to put your best foot forward around them? The answers to these questions can help confirm your feelings. Many people who are same-sex attracted report having these feelings previously with others. Thinking about your past dating or sexual history can help you determine if these feelings portray an orientation or merely mean that you have strong feelings for just one person. If you have ever felt attracted to a person of the same gender before, that could provide support for your current feelings. It can be tempting to dive in headfirst once you realize you like the other person, but wait it out. If these feelings are relatively new, they could change. Delay telling the person until you’re absolutely sure you like them and you want to act on those feelings. For instance, if you decide to wait 2 weeks before you say anything and your attraction only grows during that time, then you’ll have confirmation that your feelings are real. If you’re struggling with the idea of being same-sex attracted or if you need additional support, see a professional counselor. You might talk to the counselor at your school or find one in your local community. A counselor can help you better understand the feelings you’re having. They can also offer encouragement for coming out to family and friends.
Question: What is a summary of what this article is about?
Know how to tell if your feelings are romantic. Journal about how you’re feeling. Reflect on past experiences. Give it time to see if the feelings stick around. Talk with a counselor to further explore your sexuality.