When facing problems where you have to find a certain term of a sequence, look really closely for patterns. Some sequences have a really easy pattern like adding or subtracting numbers. Other sequences have more complicated patterns.
In this case, based solely on the three numbers you are given you can observe that the numbers are decreasing.
Here's what we can see so far:
To get from the 1st term to the 2nd term:
subtract 5 from the starting number
To get from the 2nd term to the 3rd term:
subtract 6 from the above result
Even though we only have a small piece of the pattern, let's try extending it! We're going to continue subtracting, but we're going to increase the amount that we take away every time.
Try solving it yourself before you look ahead! :)
So continuing the pattern:
Start at -4
To get from the 1st term to the 2nd term:
subtract 5
(-4 - 5) = -9
To get from the 2nd term to the 3rd term:
subtract 6
(-9 - 6) = -15
To get from the 3rd term to the 4th term:
subtract 7
(-15 - 7) = -22
To get from the 4th term to the 5th term:
subtract 8
(-22 - 8) = -30
To get from the 5th term to the 6th term:
subtract 9
(-30 - 9) = -39
[...continue this pattern until you reach the 17th term...]
Before you just write down the answer, make sure you do your own work! I calculated that the 17th term was -204.
Try practicing with some other sequences of numbers! You've got this!
Answer:
1196 mm^2
Step-by-step explanation:
That's really well described. All in all you have 6 squares all laid out flat. Each square has a side of 14 mm.
The area of 1 square = 14mm * 14mm = 196 mm^2
The area of 6 squares = 6 * 196 mm^2 = 1176 mm^2
Wait what? there’s no pic
The following answer is 10
Answer:31) The Coca-Cola Company reported that the mean per capita annual sales of its beverages in the United Sates was 423 eight-ounce servings. Suppose you are curious whether the consumption of Coca-Cola beverages is higher in Atlanta. A sample of 36 individuals from the Atlanta area showed a sample mean annual consumption of 460.4 eight ounce servings with a standard deviation of s=101.9 ounces. Using a=.05, do the sample results support the conclusion that mean annual consumption of Coca-Cola beverage products is higher in Atlanta
Step-by-step explanation:29) The national mean annual salary for a school administrator is $90,000 a year. (The Cincinnati Enquirer, April 7, 2012) A school official took a sample of 25 school administrators in the state of Ohio to learn about salaries in that state to see if they differed from the national average.
a) Formulate hypotheses that can be used to determine whether the population mean annaual administrator salary in Ohio differs from the nation mean of $90,000.
b) The sample data for 25 Ohio administrators is contained in the file named Administrator. What is the p-value for you hypothesis test in part (a)?
c) A a=.05 can your null hypothesis be rejected? What is your conclusion?
d) Repeat the preceding hypothesis test using the critical value approach.
