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Big Ideas Math Algebra 1, 2015
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Big Ideas Math Algebra 1, 2015 View details
7. Recursively Defined Sequences
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Exercise 7 Page 344

The given rule means that after the first term of the sequence, every term a_n is the sum of the previous term a_(n-1) and 2.

Sequence: 0, 2, 4, 6, 8, and 10
Graph:

Practice makes perfect

We are asked to write the first six terms of a sequence, given a recursive rule. a_1&=0 a_n&=a_(n-1)+2, for n ≥ 2To do so, we will use a table.

n a_n=a_(n-1)+2 a_(n-1)+2 a_n
1 a_1=0 - 0
2 a_2=a_(2-1)+2 a_1+2= 0+2 2
3 a_3=a_(3-1)+2 a_2+2= 2+2 4
4 a_4=a_(4-1)+2 a_3+2= 4+2 6
5 a_5=a_(5-1)+2 a_4+2= 6+2 8
6 a_6=a_(6-1)+2 a_5+2= 8+2 10

Therefore, the first six terms of the sequence are 0, 2, 4, 6, 8, and 10. Let's graph these points!

Subchapter links expand_more
arrow_right Communicate Your Answer p.339
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arrow_right Monitoring Progress p.341-343
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Monitoring Progress 2 (Page 341)
Monitoring Progress 3 (Page 341)
Monitoring Progress 4 (Page 341)
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Monitoring Progress 8 (Page 341)
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arrow_right Exercises p.344-346
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Exercises 7 (Page 344)
Exercises 8 (Page 344)
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Exercises 10 (Page 344)
Exercises 11 (Page 344)
Exercises 12 (Page 344)
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Exercises 15 (Page 344)
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Exercises 47 (Page 345)
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Exercises 64 (Page 346)
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Exercises 67 (Page 346)