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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 44 Page 703

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

3, 2, -2, -18, -82

Practice makes perfect

We are asked to write the first 5 terms of a sequence given a recursive rule. a_1&=3 a_(n+1)&=4a_n-10, for n ≥ 1 To do so we will use a table.

n a_n a_(n+1)=4a_n-10 a_(n+1)
1 a_1= 3 a_(1+1)=4( 3)-10 a_2= 2
2 a_2= 2 a_(2+1)=4( 2)-10 a_3 = -2
3 a_3= -2 a_(3+1)=4( -2)-10 a_4=-18
4 a_4=-18 a_(4+1)=4(-18)-10 a_5=-82

Therefore, the first 5 terms of the sequence are 3, 2, -2, -18, and -82.

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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)
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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)
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