Math Mocktest (Midterms) BSIT 107

Xai Alexandrei Delos Reyes · 58問 · 2年前

通報

問題一覧

It is the process of reaching a general conclusion by examining specific examples.

Inductive Reasoning

The conclusion formed is often called a ____, since it may or may not be correct.

Conjecture

It is the process of reaching a conclusion by applying general assumptions, procedures, or principles

Deductive Reasoning

3,6,9,12,15, ?

Which is an example of Inductive reasoning?

Mingming has black fur. Cats have black fur. Therefore, Mingming is a cat.

Which is an example of Deductive Reasoning?

Every time it is a weekday, John goes to work. Today is a weekday. Therefore, John is going to work today.

Which statement is the Major premise? Statement I: All chipmunks love nuts. Statement II: Alvin is a chipmunk. Statement III: Therefore, Alvin loves nuts.

Statement I

Which statement is the Minor premise? Statement I: Freddy is a bear. Statement II: All bears love honey. Statement III: Therefore, Freddy loves honey

Statement I

He was born in Hungary and moved to the United States in 1940 and is one of the foremost recent mathematicians to make a study of problem solving.

George Polya

This part of Polya’s four-step strategy is often overlooked. You must have a clear understanding of the problem

Understanding the problem

Successful problem solvers use a variety of techniques when they attempt to solve a problem

Devise a Plan

Once you have devised a plan, you must execute it.

Carry out the plan

Which statement is TRUE about the Step "Review your solution" Statement I: Interpret the solution in the context of the problem. Statement II: Successful problem solvers use a variety of techniques when they attempt to solve a problem.

Statement I

Find the sum of the first 100 positive even numbers. Which of the following shows the first step in Polya's Problem Solving Strategy, which is to "Understand the Problem"?

We need to find the sum of the first 100 positive even numbers. The known quantity is that we are summing 100 even numbers.

Find the sum of the first 100 positive even numbers. Which of the following shows the second step in Polya's Problem Solving Strategy, which is to "Devise a plan"?

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.

Find the sum of the first 100 positive even numbers. Which of the following shows the third step in Polya's Problem Solving Strategy, which is to "Carry out the plan?

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.

Find the sum of the first 100 positive even numbers. Which of the following shows the first step in Polya's Problem Solving Strategy, which is to "Review the solution"?

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.

It is an ordered list of objects or events that follow a particular pattern or rule

Sequence

The differences in row (1) are called the _____?

First differences

It is when The first differences are not all the same. These differences of the first differences are called _____?

Second differences

Problem: 1,4,7,10, … Using the nth term formula, what is the value of d?

Problem: 1,4,7,10, … Using the nth term formula, what is the value of a?

Problem: 1,4,7,10, … Using the nth-term formula, what is the value of n?

Problem: 1,4,7,10, … Using the nth term formula nth = dn + (a - d), what is the 5th term?

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