INPUT ARTICLE: Article: It is usually best to prune ninebark before it starts to develop too much, which will be sometime between late winter and early summer depending on your climate. Consider when the growing season usually begins in your region to determine when to prune ninebark. For example, if you live somewhere that starts to get warm around February or March, then you may need to prune early. If it doesn’t start to get warm until June in your area, then you may not need to prune until later. Ninebark will start to flower early in the growing season, so this is a good indication that it is time to prune. Wait for flowers to start appearing on your ninebark and then prune it. Avoid waiting to prune for more than a few days after the flowers appear because this may damage the ninebark and the plant will start growing and expanding, which will create more work for you. After your initial pruning at the start of the growing season, you may need to do some maintenance pruning during the early part of summer. Pay attention to how the plant develops and prune as needed to keep it healthy and looking its best. Do not prune ninebark past the middle of summer because the ninebark will be entering its dormant phase and pruning at this time may damage it.

SUMMARY: Prune early in your region’s growing season. Wait for flowers to appear. Perform light pruning in early summer to get rid of damaged and unhealthy branches.


INPUT ARTICLE: Article: Tap the App Store app icon, which resembles a white "A" on a light-blue background. It's a tab at the bottom of the screen. Doing so brings up the "Search" page. Tap the search bar at the top of the screen, then type in gmail and tap Search in the keyboard. It's to the right of the "Gmail - Email by Google" heading. Doing so will allow Gmail to begin downloading onto your iPhone. If your iPhone doesn't have Touch ID or you don't use Touch ID for App Store verification, you'll instead tap Install at the bottom of the screen and then enter your Apple ID password when prompted. Tap OPEN in the App Store, or tap the red-and-white Gmail app icon on one of your iPhone's Home Screens. It's at the bottom of the screen. If there's no Google Account signed in on your iPhone, you'll select the Google option when prompted and then do the following:  Enter your email address. Tap NEXT. Enter your Gmail password. Tap NEXT. If you see your Google Account listed on Gmail, you can skip the login process by tapping the white switch to the right of your account's name. Once you're done signing into Gmail, your inbox should load within a few seconds.

SUMMARY: Open your iPhone's  App Store. Tap Search. Search for Gmail. Tap GET. Enter your Touch ID when prompted. Open Gmail. Tap SIGN IN. Sign into Gmail. Wait for your inbox to load.


INPUT ARTICLE: Article: 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 {\frac {1+500}{2}}=250.5}. Multiply the average by n{\displaystyle n}: 250.5×500=125,250{\displaystyle 250.5\times 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 {\frac {3+24}{2}}=13.5}. Multiply the average by n{\displaystyle n}: 13.5×4=54{\displaystyle 13.5\times 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 5×52=260{\displaystyle 5\times 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 {\frac {5+260}{2}}=132.5}. Multiply the average by n{\displaystyle n}: 132.5×52=6,890{\displaystyle 132.5\times 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.