High School

We appreciate your visit to Use inductive reasoning to predict the next line in this sequence of computations Then use a calculator or perform the arithmetic by hand to determine. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Use inductive reasoning to predict the next line in this sequence of computations. Then use a calculator or perform the arithmetic by hand to determine whether your conjecture is correct.

\[
9.3 + 5 = 32
\]
\[
99.3 + 5 = 302
\]
\[
999.3 + 5 = 3002
\]
\[
9999.3 + 5 = 30002
\]

Make a conjecture by predicting the correct numbers in the line below.

\[
99999.3 + 5 = \quad ?
\]

Is the conjecture correct?

A. Yes

B. No

Answer :

The next number in the sequence is predicted to be 300007, and the conjecture is confirmed to be correct.

To predict the next line in the sequence, we can observe that the pattern is adding a sequence of 2s at the end of each number. The first number ends with 32, the second with 302, the third with 3002, and the fourth with 30002. Following this pattern, the next number in the line would be 300002. Calculating the sum, we get 300002 + 5 - 0 = 300007.

Therefore, the conjecture for the correct numbers in the next line is 300007.

By performing the arithmetic, we can confirm that the conjecture is indeed correct, as the sum of 9.3 + 5 - 0 equals 14.3, which matches the predicted number.

Learn more about Inductive reasoning here:

https://brainly.com/question/33871903

#SPJ3

Thanks for taking the time to read Use inductive reasoning to predict the next line in this sequence of computations Then use a calculator or perform the arithmetic by hand to determine. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada

Answer and explanation:

Inductive reasoning is a method of reasoning whereby conclusion of an argument is based on specific observations or evidence that forms the premise of the argument. Inductive reasoning moves from observations to general conclusion unlike deductive reasoning.

B. The conjecture 0-3+5 -0 is incorrect

Given the above sequence of computations, we use inductive reasoning to predict the next computation

The correct next conjecture is

99999.3+5= 300002