Concept explainers
(a)
The recursive rule for the length of the bones.
(a)
Answer to Problem 52E
The recursive rule is:
Explanation of Solution
Given information:
The X-ray shows the lengths (in centimetres) of bones in a human hand.
Formula used:
Beginning with the third term, each term is the difference of the two previous terms.
Calculation:
Use a table to organize the terms & find the pattern:
The sequence does not have a common difference and not common ratio, so it is neither arithmetic nor geometric.
Find the difference of each pair of consecutive terms:
Beginning with the third term, each term is the difference of the two previous terms.
Therefore, the recursive rule is:
Conclusion:
The recursive rule is:
(b)
The length of the different sections.
(b)
Answer to Problem 52E
The different sections of our hand do not have a pattern.
Explanation of Solution
Given information:
The X-ray shows the lengths (in centimetres) of bones in a human hand.
Formula used:
X-ray image is used.
Calculation:
No. The different sections of our hand do not have a pattern.
Conclusion:
The different sections of our hand do not have a pattern.
Chapter 6 Solutions
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