Concept explainers
(a)
The function that represents the sequence of figures.
(a)
Answer to Problem 40E
Explanation of Solution
Given information:
The given sequence figure is shown below,
Formula used:
The function for a geometric sequence is:
Calculation:
The number of
1, 4, 16...
The function for a geometric sequence is:
From the given,
Therefore, the function is:
Simplify,
Conclusion:
(b)
The 10th figure in the sequence.
(b)
Answer to Problem 40E
F 10) = 262144 Smaller triangles
Explanation of Solution
Given information:
The given sequence figure is shown below,
Formula used:
The function for a geometric sequence is:
Calculation:
At 11 = 10, the big triangle will be divided into:
f(10) = 262144 Smaller triangles
Conclusion:
f(10) = 262144 Smaller triangles
Chapter 6 Solutions
BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015
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