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Contact [7]
2 years ago
12

The first five terms of a sequence are

Mathematics
1 answer:
Elena L [17]2 years ago
5 0

Answer:

(a) 7 + 3( n - 1 )

(b) 1006

Step-by-step explanation:

ARITHMETIC SEQUENCE.

The number of term of an Arithmetic progression has the formular :

nth term = a + ( n - 1 ) d

a = 7

d = 10 - 7 = 3

nth term = 7 + ( n - 1 ) 3

= 7 + 3n - 3

= 7 + 3( n - 1 )

Therefore,

the nth term of the sequence

= 7 + 3( n - 1 )

(b) For the 1000th term

= 7 + 3 ( 1000-1 )

= 7 + ( 999 )

7 + 999 = 1006

Therefore,

the 1000th term = 1006

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An experiment was conducted to examine two different memorization methods to see which method allows people to remember better.
wlad13 [49]

Question Completion:

SubID  Memory1     Memory2

1                 71                78

2               75                75

3               77                82

4               90                91

5               72                90

6               79                 81

7               84                 75

8               75                 86

9               85                 92

10              75                 77

11               72                 92

12               76                87

13               77                93

14               90                94

15               84                78

16               73                92

17               75                85

18               87                86

19               75               95

20              70               94

21               72               75

22              90               84

23               81               94

24               87               82

25              90               82

26              87               79

27              78               94

28              78               79

29              70               82

30               81               80

31               80               78

32              90               87

33              83               90

34               81               85

35              73               88

36              82               82

37              84               94

38              85               86

39              77               94

40               82              83

Answer:

Since the mean of Memory1 (reciting method) (79.8) is smaller than the mean of Memory2 (imagery method) (85.5), we can conclude that there is a significant difference in memory performance between the reciting method and the imagery method.

Step-by-step explanation:

a) Data and Calculations:

SubID  Memory1     Memory2

1                 71                78

2               75                75

3               77                82

4               90                91

5               72               90

6               79                81

7               84                75

8               75                86

9               85                92

10              75                77

11               72                92

12              76               87

13              77               93

14              90               94

15              84               78

16              73               92

17              75               85

18              87               86

19              75               95

20             70               94

21              72               75

22             90               84

23              81               94

24             87               82

25            90               82

26             87               79

27             78               94

28             78               79

29             70               82

30              81               80

31              80               78

32             90               87

33             83               90

34              81               85

35             73               88

36             82               82

37             84               94

38             85               86

39             77               94

40             82               83

Total     3,193          3,421

Mean     79.8            85.5

Difference in means = 5.7 (85.5 - 79.8)

7 0
3 years ago
China has a population of approximately 1,322,000,000 people. Express this number in scientific notation. A) 1.322 x 109 B) 1.32
mash [69]
The answer is A.) 1.322 x 10^9. I hope this helps love! :)
3 0
3 years ago
Read 2 more answers
Lena is taking four classes. In one class, she is getting an 83. In another, she is getting another 83. In the third class, she
Svetach [21]

(83 + 83 + 91 + 89)/4

= 346/4

= 86.5

5 0
4 years ago
12. The Opera is collecting monies in advance for ticket sales. The tickets cost $17.50 each.
Debora [2.8K]

Answer:

The number of tickets they have sold in advance are summed up with the following equation and solution:

Equation: \frac{6842.50}{17.50} [the final answer should be in dollars]

Solution: The Opera sold 391 tickets in advance.

Step-by-step explanation:

First: Review some background information:

Let's see what the problem gives us to answer it. I'll bold out the important parts:

The Opera is collecting monies in advance for ticket sales. The tickets cost $17.50 each. If they have collected $6842.50 already, then how many tickets have they sold in advance?

We know how much the tickets cost and how much money they have earned from selling tickets, we can find out how much tickets they have sold.

Second: Solve the problem:

We can solve this problem using many ways, but I'm just going to pick one. We will use proportions to answer this. Now thoughts might be going through your head like this: What is this guy saying? What in the world is proportions? Well hopefully you learn from this example (Please don't take offense if you <em>do</em> know how to do proportions).

First we set up two fractions. One ticket costs $17.50, so we will use it to set up our first fraction: \frac{1}{17.50}. We don't know how many tickets all together cost $6842.50 so we will use the variable: x. Now, we can set up our second fraction. x tickets costs $6842.50 so our second fraction will be: \frac{x}{6842.50}. Now we must use cross multiplication. We multiply the numerator of the first fraction times the denominator of the second fraction, and then we multiply the denominator o the first fraction times the numerator of the second fraction. That's what we would do usually. But now, since we have a variable, we must use cross multiplication to solve for this variable. So we multiply the the numerator of the first fraction times the denominator of the other fraction and then we divide that answer times the denominator of the first fraction (You don't have to set it up like this).So let's solve this question:

\frac{1}{17.50}  \frac{x}{6842.50}

1 x 17.50 = 17.50

6842.50 ÷ 17.50 = 391

So our equation is 6842.50 ÷ 17.50, and our solution is 391 tickets

Topic: Proportions

6 0
3 years ago
A group of science students plans to take an SRS of 25 days in the year to see what proportion of days sampled have a low below
scZoUnD [109]

Answer:

mean = 0.41

SD = \sqrt (.41(1-.41))/25)

Step-by-step explanation:

khan told me

6 0
3 years ago
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