In one sentence, describe what the following article is about: Consider all consecutive integers. Determine the number of terms (n{\displaystyle n}) in the sequence. Since you are considering all consecutive integers to 500, n=500{\displaystyle n=500}. Determine the first (a1{\displaystyle a_{1}}) and last (an{\displaystyle a_{n}}) terms in the sequence. Since the sequence is 1 to 500, a1=1{\displaystyle a_{1}=1} and an=500{\displaystyle a_{n}=500}. Find the average of a1{\displaystyle a_{1}} and an{\displaystyle a_{n}}: 1+5002=250.5{\displaystyle {
rac {1+500}{2}}=250.5}. Multiply the average by n{\displaystyle n}: 250.5500=125,250{\displaystyle 250.5 imes 500=125,250}. The first term in the sequence is 3. The last term in the sequence is 24. The common difference is 7. Determine the number of terms (n{\displaystyle n}) in the sequence. Since you begin with 3, end with 24, and go up by 7 each time, the series is 3, 10, 17, 24. (The common difference is the difference between each term in the sequence.) This means that n=4{\displaystyle n=4} Determine the first (a1{\displaystyle a_{1}}) and last (an{\displaystyle a_{n}}) terms in the sequence. Since the sequence is 3 to 24, a1=3{\displaystyle a_{1}=3} and an=24{\displaystyle a_{n}=24}. Find the average of a1{\displaystyle a_{1}} and an{\displaystyle a_{n}}: 3+242=13.5{\displaystyle {
rac {3+24}{2}}=13.5}. Multiply the average by n{\displaystyle n}: 13.54=54{\displaystyle 13.5 imes 4=54}. Mara saves 5 dollars the first week of the year. For the rest of the year, she increases her weekly savings by 5 dollars every week. How much money does Mara save by the end of the year? Determine the number of terms (n{\displaystyle n}) in the sequence. Since Mara save for 52 weeks (1 year), n=52{\displaystyle n=52}. Determine the first (a1{\displaystyle a_{1}}) and last (an{\displaystyle a_{n}}) terms in the sequence. The first amount she saves is 5 dollars, so a1=5{\displaystyle a_{1}=5}. To find out the amount she saves the last week of the year, calculate 552=260{\displaystyle 5 imes 52=260}. So an=260{\displaystyle a_{n}=260}. Find the average of a1{\displaystyle a_{1}} and an{\displaystyle a_{n}}: 5+2602=132.5{\displaystyle {
rac {5+260}{2}}=132.5}. Multiply the average by n{\displaystyle n}: 132.552=6,890{\displaystyle 132.5 imes 52=6,890}. So she saves $6,890 by the end of the year.
Summary: Find the sum of numbers between 1 and 500. Find the sum of the described arithmetic sequence. Solve the following problem.

In one sentence, describe what the following article is about: The easiest way you can act like you have a boyfriend online is by making posts about your relationship together. Publically compliment your boyfriend via your social media account, and keep your online social circle up to date about romantic nights you're not actually having. Don't go overboard with these posts, as they often tend to be annoying to other people, especially to those who are having trouble finding a relationship of their own. Whatever your reason for faking a relationship, do your best to make yourself feel the way you would if you were really with someone. Visualize the thoughts and feelings that normally distinguish being single from being in a relationship, and try to emulate the latter as best as you can. For example, being in a relationship may lead to you making cheerier posts online, rather than unhappy ones. Although people may be suspicious of a faked profile, a fake boyfriend will seem that much more real if you stage pictures in the real world. A picture as basic as two coffee cups on a table with an appropriate caption will make it seem like you're out doing things with someone special. Even if you won't have an actual boyfriend to photograph, the implication is often enough. A caption is a vital part of creating the illusion. Make it affectionate and romantic. For instance, if you have two coffee cups set up, you can say something like "Drinking my favourite coffee with my favourite guy." There are virtual relationship services that will give you the experience of having a fake relationship for a monthly fee. Upon paying, you'll normally get custom-made voicemails, cutesy texts, and a believable backstory on how the two of you met in the first place. If you need a quick way to act like you have a boyfriend, delegating some of the creativity to professionals may be the very help you need.
Summary: Make statuses about your relationship. Act cheerful and upbeat online. Stage pictures that imply a relationship. Try a virtual boyfriend service.

In one sentence, describe what the following article is about: While exact pronunciation varies from region to region and dialect to dialect, the most common way to say "hello" is almost always some form of "ni hao." In all dialects, the Chinese script for this greeting is written as . Note that the romanization of will usually give you a rough idea of how to pronounce it. In Hakka Chinese, for instance, the romanization is Ni ho. The beginning ni sound is harder, while the ending hao sound sounds less like the English "ow" and more like the English long "o." In Shanghainese, on the other hand, the romanization is "Nong Hao." While the hao portion is very similar, the beginning nong sound is more elongated and comes to a hard conclusion at the end of the syllable. The Mandarin and Cantonese phone greetings do not work with Hakka Chinese. Used in other contexts, oil is an interjection meaning something along the lines of "oh." In Chinese script, I am writing as . A rough pronunciation is simply Oy or ay. This greeting translates into "hello everybody" and can be used when greeting more than one person. In native Chinese script, this phrase is written as . A rough pronunciation of this phrase is due-gee how". DA is a fourth (sharp, falling) tone and Jia is a sustained pitch (a first tone word).
Summary:
Stick with versions of "ni hao" to be safe. Answer the phone with "oi" in Hakka Chinese. Greet a crowd with "daga-hao" in Shanghainese.