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Choose which reasoning process is shown in the following example. Explain your answer.
It can be shown that 1 + 2 + 3 + ... +n=
n(n+1)
2
This formula can be used to conclude that the sum of the first 600 numbers, 1+2+3+...+600, is the following.
600(600 + 1
2
600(601)
= 300(601), or 180,300
2
Choose the correct answer below.
O A. This is inductive reasoning because a specific conclusion is being proved from a general statement.
OB. This is deductive reasoning because a specific conclusion is being proved from a general statement.
OC. This is deductive reasoning because it is an educated guess to say that the formula can be used to calculate the sum of the first 600 numbers.
OD. This is inductive reasoning because it is an educated guess to say that the formula can be used to calculate the sum of the first 600 numbers.
Click to select your answer.

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Answer:

OB

Step-by-step explanation:

When you deduct something it means an intelligent reasoning based on given information for prediction.

In the above case we have a given formula from which we can deduct the facts .

We see a general statement is given from there we get a specific value.

By the way the formula given meant n(n+2)/ 2

The correct option is B. This is deductive reasoning because a specific conclusion is being proved from a general statement. This is obtained by checking the requirements of deductive reasoning.

What is deductive reasoning ?

  • Deductive reasoning is a process in which a conclusion is based on  multiple assertion that are generally taken to be true.
  • Makes logical assertions based on a conclusion around the assertion.

Which reasoning process is shown in the given example?

  • The given question is deductive reasoning by referring to the definition of deductive reasoning.
  • In the question, a specific conclusion, that is, sum of first 600 numbers is being proved from a general statement, that is, sum of n numbers.

Hence this is deductive reasoning because a specific conclusion is being proved from a general statement.

Learn more about reasoning process here:

brainly.com/question/14265467

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