
Concept explainers
(a)
Write a sequence of the total number of
(a)

Answer to Problem 46PPS
The sequence is
Explanation of Solution
Given:
Write a sequence of the total number of triangles in the first six figures.
Concept Used:
The number of Triangles in First figure is 1 and in second figure is 4 and in third figure is 10.
Calculation:
Thus, the sequence is
(b)
Write a recursive formula for the number of triangles.
(b)

Answer to Problem 46PPS
The recursive formula is
Explanation of Solution
Given:
Write a recursive formula for the number of triangles.
Concept Used:
The number of Triangles in First figure is 1 and in second figure is 4 and in third figure is 10.
Calculation:
The sequence is
The recursive formula is
Thus, the recursive formula is
(c)
Find the number of triangles in the tenth figure.
(c)

Answer to Problem 46PPS
The number of triangles in the tenth figure is 136
Explanation of Solution
Given:
How many triangles will be in the tenth figure?
Concept Used:
The number of Triangles in First figure is 1 and in second figure is 4 and in third figure is 10.
Calculation:
The recursive formula is
The number of triangles in the tenth figure is 136
Thus, the number of triangles in the tenth figure is 136
Chapter 10 Solutions
Glencoe Algebra 2 Student Edition C2014
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