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 2000 numbers, 1+2+3+...+2000​, is the following. 2000(2000+1)/2=2000(2001)/2=1000(2001), or 2,001,000 Choose the correct answer below. A.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 2000 numbers. B.This is deductive reasoning because a specific conclusion is being proved from a general statement. C.This is inductive reasoning because a specific conclusion is being proved from a general statement. D.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 2000 numbers.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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 2000 numbers,

1+2+3+...+2000​, is the following.

2000(2000+1)/2=2000(2001)/2=1000(2001),

or 2,001,000

Choose the correct answer below.

A.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 2000 numbers.

B.This is deductive reasoning because a specific conclusion is being proved from a general statement.

C.This is inductive reasoning because a specific conclusion is being proved from a general statement.

D.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 2000 numbers.

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