Sample Solution from
A Survey of Mathematics with Applications (10th Edition) - Standalone book
10th Edition
ISBN: 9780134112107
Chapter 1
Problem 1RE
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Textbook Problem

In Exercises 1-8, use inductive reasoning to predict the next three numbers or figures in the pattern.

1, 3, 8, 13, 18, ....

Expert Solution
To determine

To predict: The next three numbers following the pattern.

Answer

The next three numbers for the pattern are 23,28,33 .

Explanation of Solution

Given:

The pattern is 3,8,13,18, .

Calculation:

From the given pattern, it is observed that numbers in the pattern are found by adding 5 to the previous.

3+5=88+5=1313+5=18

The last number is given as 18.

Thus, to continue the pattern, add 5 to number 18 and obtain that 18+5=23 .

Use the same method and find the next two numbers.

Thus, add 5 to the obtained result 23 and discover the next number in the pattern as 23+5=28 .

Similarly, add 5 to the obtained result 23 and discover the next number in the pattern as 28+5=33 .

Hence, the next three numbers for the pattern are 23,28,33 .

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