Consider this sequence: 1 Growing Triangles A 2 2. What patterns in the set of figures do you notice? 3 3. Figure 1 is made up of one triangle. Figure 2 is made up of four triangles. How many triangles make up figure 10? Figure 100? 4. Write a rule for determining the number of triangles for any figure in the sequence. Explain why your rule works.
Consider this sequence: 1 Growing Triangles A 2 2. What patterns in the set of figures do you notice? 3 3. Figure 1 is made up of one triangle. Figure 2 is made up of four triangles. How many triangles make up figure 10? Figure 100? 4. Write a rule for determining the number of triangles for any figure in the sequence. Explain why your rule works.
Chapter12: Sequences, Series And Binomial Theorem
Section12.2: Arithmetic Sequences
Problem 12.33TI: Find the first term and common difference of a sequence where the fourth term is 17 and the...
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Transcribed Image Text:Consider this sequence:
1
Growing Triangles
A
2
2. What patterns in the set of figures do you notice?
3
3. Figure 1 is made up of one triangle. Figure 2 is made up of four triangles. How many
triangles make up figure 10? Figure 100?
4. Write a rule for determining the number of triangles for any figure in the sequence.
Explain why your rule works.
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