Concept explainers
To Find: The conjecture that describes the pattern in each sequence and the next item in the sequence.
Answer to Problem 1MCQ
40
Explanation of Solution
Given:
The sequence: 5, 5, 10, 15, 25,...
Here, it can be seen that from the 3rd item in the sequence, the item in the sequence is equal to the sum of previous two numbers.
i.e. 10 is the sum of previous two items 5 and 5.
15 is the sum of previous two items 10 and 5.
25 is the sum of previous two items 15 and 10.
Similarly, the next item in the sequence will be equal to sum of previous two numbers.
15 + 25 = 40
Chapter 2 Solutions
Geometry, Student Edition
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