問題一覧
1
Inductive Reasoning
2
Conjecture
3
Deductive Reasoning
4
18
5
Mingming has black fur. Cats have black fur. Therefore, Mingming is a cat.
6
Every time it is a weekday, John goes to work. Today is a weekday. Therefore, John is going to work today.
7
Statement I
8
Statement I
9
George Polya
10
Understanding the problem
11
Devise a Plan
12
Carry out the plan
13
Statement I
14
We need to find the sum of the first 100 positive even numbers. The known quantity is that we are summing 100 even numbers.
15
To find the sum of even numbers, we can use the formula for the sum of an arithmetic series, which is Sn = n/2 * (2a + (n-1)d), where Sn is the sum, n is the number of terms, a is the first term, and d is the common difference. In this case, a is 2, d is 2 (because the numbers are even and the difference between them is 2), and n is 100.
16
Apply the formula: Sn = 100/2 * (2*2 + (100-1)*2). Sn = 50 * (4 + 198) = 50 * 202 = 10,100. So, the sum of the first 100 positive even numbers is 10,100.
17
Ensure it makes sense. In this case, it does! as the sum is a positive number, and the method used is appropriate for finding the sum of an arithmetic series.
18
Sequence
19
First differences
20
Second differences
21
3
22
1
23
5
24
13
The Contemporary World Mock test (Prelims)
The Contemporary World Mock test (Prelims)
Xai Alexandrei Delos Reyes · 58問 · 2年前The Contemporary World Mock test (Prelims)
The Contemporary World Mock test (Prelims)
58問 • 2年前Computing Mock test (Prelims)
Computing Mock test (Prelims)
Xai Alexandrei Delos Reyes · 67問 · 2年前Computing Mock test (Prelims)
Computing Mock test (Prelims)
67問 • 2年前Programming Mock Test (Prelims)
Programming Mock Test (Prelims)
Xai Alexandrei Delos Reyes · 64問 · 2年前Programming Mock Test (Prelims)
Programming Mock Test (Prelims)
64問 • 2年前Entrepreneurship Mock Test (Prelims)
Entrepreneurship Mock Test (Prelims)
Xai Alexandrei Delos Reyes · 23問 · 2年前Entrepreneurship Mock Test (Prelims)
Entrepreneurship Mock Test (Prelims)
23問 • 2年前Computing Mock Test (Midterms) BSIT 107
Computing Mock Test (Midterms) BSIT 107
Xai Alexandrei Delos Reyes · 76問 · 2年前Computing Mock Test (Midterms) BSIT 107
Computing Mock Test (Midterms) BSIT 107
76問 • 2年前Math Mock Test (Prelims)
Math Mock Test (Prelims)
Xai Alexandrei Delos Reyes · 48問 · 2年前Math Mock Test (Prelims)
Math Mock Test (Prelims)
48問 • 2年前Programming Mock Test (Midterms) BSIT 107
Programming Mock Test (Midterms) BSIT 107
Xai Alexandrei Delos Reyes · 52問 · 2年前Programming Mock Test (Midterms) BSIT 107
Programming Mock Test (Midterms) BSIT 107
52問 • 2年前UTS Mock Test (Midterms) BSIT107
UTS Mock Test (Midterms) BSIT107
Xai Alexandrei Delos Reyes · 40問 · 2年前UTS Mock Test (Midterms) BSIT107
UTS Mock Test (Midterms) BSIT107
40問 • 2年前Entrepreneurship Mock Test (Midterms) BSIT 107
Entrepreneurship Mock Test (Midterms) BSIT 107
Xai Alexandrei Delos Reyes · 38問 · 2年前Entrepreneurship Mock Test (Midterms) BSIT 107
Entrepreneurship Mock Test (Midterms) BSIT 107
38問 • 2年前Contemporary World Mock Test (Midterms) BSIT 107
Contemporary World Mock Test (Midterms) BSIT 107
Xai Alexandrei Delos Reyes · 28問 · 2年前Contemporary World Mock Test (Midterms) BSIT 107
Contemporary World Mock Test (Midterms) BSIT 107
28問 • 2年前Computer Programming Mocktest (Pre-finals)
Computer Programming Mocktest (Pre-finals)
Xai Alexandrei Delos Reyes · 26問 · 2年前Computer Programming Mocktest (Pre-finals)
Computer Programming Mocktest (Pre-finals)
26問 • 2年前Math Mocktest (Pre-Finals)
Math Mocktest (Pre-Finals)
Xai Alexandrei Delos Reyes · 19問 · 2年前Math Mocktest (Pre-Finals)
Math Mocktest (Pre-Finals)
19問 • 2年前Computing Mock Test (Pre-finals)
Computing Mock Test (Pre-finals)
Xai Alexandrei Delos Reyes · 36問 · 2年前Computing Mock Test (Pre-finals)
Computing Mock Test (Pre-finals)
36問 • 2年前Computing Mock Test Finals
Computing Mock Test Finals
Xai Alexandrei Delos Reyes · 26問 · 2年前Computing Mock Test Finals
Computing Mock Test Finals
26問 • 2年前Comprog 2nd sem (prelims) BSIT 205
Comprog 2nd sem (prelims) BSIT 205
Xai Alexandrei Delos Reyes · 63問 · 1年前Comprog 2nd sem (prelims) BSIT 205
Comprog 2nd sem (prelims) BSIT 205
63問 • 1年前Discrete Math 2nd sem (prelims) BSIT 205
Discrete Math 2nd sem (prelims) BSIT 205
Xai Alexandrei Delos Reyes · 36問 · 1年前Discrete Math 2nd sem (prelims) BSIT 205
Discrete Math 2nd sem (prelims) BSIT 205
36問 • 1年前Art Appreciation (Prelim) BSIT 205
Art Appreciation (Prelim) BSIT 205
Xai Alexandrei Delos Reyes · 56問 · 1年前Art Appreciation (Prelim) BSIT 205
Art Appreciation (Prelim) BSIT 205
56問 • 1年前Ethics 2nd sem (Prelims) BSIT 205
Ethics 2nd sem (Prelims) BSIT 205
Xai Alexandrei Delos Reyes · 45問 · 1年前Ethics 2nd sem (Prelims) BSIT 205
Ethics 2nd sem (Prelims) BSIT 205
45問 • 1年前STS 2nd Sem (Prelim) BSIT 205
STS 2nd Sem (Prelim) BSIT 205
Xai Alexandrei Delos Reyes · 40問 · 1年前STS 2nd Sem (Prelim) BSIT 205
STS 2nd Sem (Prelim) BSIT 205
40問 • 1年前問題一覧
1
Inductive Reasoning
2
Conjecture
3
Deductive Reasoning
4
18
5
Mingming has black fur. Cats have black fur. Therefore, Mingming is a cat.
6
Every time it is a weekday, John goes to work. Today is a weekday. Therefore, John is going to work today.
7
Statement I
8
Statement I
9
George Polya
10
Understanding the problem
11
Devise a Plan
12
Carry out the plan
13
Statement I
14
We need to find the sum of the first 100 positive even numbers. The known quantity is that we are summing 100 even numbers.
15
To find the sum of even numbers, we can use the formula for the sum of an arithmetic series, which is Sn = n/2 * (2a + (n-1)d), where Sn is the sum, n is the number of terms, a is the first term, and d is the common difference. In this case, a is 2, d is 2 (because the numbers are even and the difference between them is 2), and n is 100.
16
Apply the formula: Sn = 100/2 * (2*2 + (100-1)*2). Sn = 50 * (4 + 198) = 50 * 202 = 10,100. So, the sum of the first 100 positive even numbers is 10,100.
17
Ensure it makes sense. In this case, it does! as the sum is a positive number, and the method used is appropriate for finding the sum of an arithmetic series.
18
Sequence
19
First differences
20
Second differences
21
3
22
1
23
5
24
13