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McGraw Hill Glencoe Algebra 2, 2012
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McGraw Hill Glencoe Algebra 2, 2012 View details
6. The Binomial Theorem
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Exercise 43 Page 703

The given rule means that every term a_(n+1) is the sum between the previous term a_n and 5.

-2, 3, 8, 13, 18

Practice makes perfect

We are asked to write the first 5 terms of a sequence given a recursive rule. a_1&=-2 a_(n+1)&=a_n+5, for n ≥ 1 To do so we will use a table.

n a_n a_(n+1)=a_n+5 a_(n+1)
1 a_1= -2 a_(1+1)= -2+5 a_2= 3
2 a_2= 3 a_(2+1)= 3+5 a_3 = 8
3 a_3= 8 a_(3+1)= 8+5 a_4=13
4 a_4=13 a_(4+1)=13+5 a_5=18

Therefore, the first 5 terms of the sequence are -2, 3, 8, 13, and 18.

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arrow_right Check Your Understanding p.701
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arrow_right Practice and Problem Solving p.702
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Practice and Problem Solving 27 (Page 702)
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arrow_right H.O.T. Problems p.702
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H.O.T. Problems 36 (Page 702)
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arrow_right Standardized Test Practice p.703
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arrow_right Spiral Review p.703
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Spiral Review 49 (Page 703)
arrow_right Skills Review p.703
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