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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 45 Page 703

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

4, 6, 12, 30, 84

Practice makes perfect

We are asked to write the first 5 terms of a sequence given a recursive rule. a_1&=4 a_(n+1)&=3a_n-6, for n ≥ 1 To do so we will use a table.

n a_n a_(n+1)=3a_n-6 a_(n+1)
1 a_1= 4 a_(1+1)=3( 4)-6 a_2= 6
2 a_2= 6 a_(2+1)=3( 6)-6 a_3 = 12
3 a_3= 12 a_(3+1)=3( 12)-6 a_4=30
4 a_4=30 a_(4+1)=3(30)-6 a_5=84

Therefore, the first 5 terms of the sequence are 4, 6, 12, 30, and 84.

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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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Practice and Problem Solving 33 (Page 702)
arrow_right H.O.T. Problems p.702
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H.O.T. Problems 36 (Page 702)
H.O.T. Problems 37 (Page 702)
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arrow_right Standardized Test Practice p.703
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arrow_right Spiral Review p.703
Spiral Review 43 (Page 703)
Spiral Review 44 (Page 703)
Spiral Review 45 (Page 703)
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Spiral Review 49 (Page 703)
arrow_right Skills Review p.703
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