In one sentence, describe what the following article is about: Using the explicit formula and some basic algebra, you can find several pieces of information about an arithmetic sequence. In its original form, a(n)=a(1)+(n−1)d{\displaystyle a(n)=a(1)+(n-1)d}, the explicit formula is designed to solve for an and give you the nth term of a sequence. However, you can algebraically manipulate this formula and solve for any of the variables.  For example, suppose you have the end of a list of numbers, but you need to know what the beginning of the sequence was. You can rearrange the formula to give you a(1)=(n−1)d−a(n).{\displaystyle a(1)=(n-1)d-a(n).}  If you know the starting point of an arithmetic sequence and its ending point, but you need to know how many terms are in the list, you can rearrange the explicit formula to solve for n. This would be n=a(n)−a(1)d+1{\displaystyle n={\frac {a(n)-a(1)}{d}}+1}. If you need to review the basic rules of algebra to create this result, check out Do Algebra or Simplify Algebraic Expressions. You may know that the 50th term of an arithmetic sequence is 300, and you know that the terms have been increasing by 7 (the “common difference”), but you want to find out what the first term of the sequence was. Use the revised explicit formula that solves for a1 to find your answer. Use the equation a(1)=(n−1)d−a(n){\displaystyle a(1)=(n-1)d-a(n)}, and fill in the information that you know. Since you know that the 50th term is 300, then n=50, n-1=49 and a(n)=300. You also are given that the common difference, d, is 7. Therefore, the formula becomes a(1)=(49)(7)−300{\displaystyle a(1)=(49)(7)-300}. This works out to 343−300=43{\displaystyle 343-300=43}. The sequence that you have began at 43, and counted up by 7. Therefore, it looks like 43,50,57,64,71,78…293,300. Suppose you know all about the start and end of an arithmetic sequence, but you need to find out how long it is. Use the revised formula n=a(n)−a(1)d+1{\displaystyle n={\frac {a(n)-a(1)}{d}}+1}.  Suppose you know that a given arithmetic sequence begins at 100 and increases by 13. You are also told that the final term is 2,856. To find the length of the sequence, use the terms a1=100, d=13, and a(n)=2856. Insert these terms into the formula to give n=2856−10013+1{\displaystyle n={\frac {2856-100}{13}}+1}. If you work this out, you get n=275613+1{\displaystyle n={\frac {2756}{13}}+1}, which equals 212+1, which is 213. There are 213 terms in that sequence. This sample sequence would look like 100, 113, 126, 139… 2843, 2856.
Summary: Rearrange the explicit formula to solve for other variables. Find the first term of a sequence. Find the length of a sequence.

In one sentence, describe what the following article is about: An opaque bag will help keep light out from the bulbs and prevent them from sprouting too early. Keep the bag open to keep air flowing to the bulbs. If you are storing multiple flower bulbs, write the name of which bulbs you are storing on the outside of the bag. You can also use a netted bag to help regulate airflow, but it will not block light. The bulbs should be stored in a basement, cellar, or garage. The temperature should be between 60 °F (16 °C) and 65 °F (18 °C). Make sure the area they’re stored in does not drop below freezing levels or else the bulbs will not survive. If the bulbs are left out, the daffodils will not winterize and they may not bloom next season. Store the bag of daffodil bulbs in the crisper drawer so they are out of direct light. Keep the bulbs in a separate drawer away from any food. Fruits like apples emit ethylene gas and can kill the flower inside the bulb. If you store the daffodil bulbs in a fridge, keep them in a separate fridge from the fruit. Once the bulbs have been chilling for 6 to 8 weeks, they have experienced enough cold to bloom in the spring. Replant the bulbs with at least 3 inches (7.6 cm) of soil covering them. When you dig the hole for the daffodil bulbs, add a handful bulb fertilizer to promote healthy spring growth.
Summary: Place the bulbs in a labeled paper bag. Store the bulbs in a cool, dry place for 6 to 8 weeks. Keep the bulbs in the fridge if you live in a warm climate. Keep fruits away from your bulbs. Replant the bulbs in late December or early January.

In one sentence, describe what the following article is about: Your relationship with your mom may not feel very nurturing, so it's important to get social support from others. This may come from your dad, grandparents, aunts and uncles, friends, or other mentors in your community. If you need to talk, reach out to these people to vent about your mom or get practical advice for dealing with her passive-aggressive behavior. Become more aware of your own anger that stems from your mother's behavior. Start a daily journal practice of writing down what you're feeling. Periodically re-read your entries to look for recurring patterns and brainstorm solutions.  For instance, brainstorming solutions might include noticing that you and your mom usually bump heads whenever you're feeling tired. To fix the problem, keep those interactions short and sweet. Excuse yourself and go to your room rather than trying to reason with her when you're already exhausted. Put your journal in a safe place where your mother can't find it and read it. Some good places might be under your mattress, behind other books in a bookcase, or in your closet. Take good care of yourself by doing activities that promote wellness, like eating well and exercising.  Also, try  mindfulness meditation to learn how to sit with your anger or frustration and keep stress at bay with yoga or  deep breathing. You might also do special activities just for you, such as coloring, listening to your favorite music, or cuddling with a special someone. Work through your thoughts and feelings with a professional. A counselor can help you heal from emotional neglect and even teach useful skills like assertiveness training, so you can better interact with your mother. If you think she's up for it, you might invite your mom to a counseling session at some point, too.
Summary:
Get support from your social circle. Develop a journaling habit to release your frustration. Perform  self-care regularly. See a  counselor.