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McGraw Hill Glencoe Algebra 2, 2012

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McGraw Hill Glencoe Algebra 2, 2012 View details

Study Guide and Review

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Exercise 49 Page 713

The given formula means that, after the first term of the sequence, every term a_(n+1) is the sum of the previous term a_n and 5.

1, 6, 11, 16, 21

Practice makes perfect

We are asked to write the first five terms of a sequence, given a recursive formula.

a_1&=1 a_(n+1)&=a_n+5 To do so, we will use a table. Notice that to find a_2 we will substitute n=1, to find a_3 we will substitute n=2, and so on.

n	a_(n+1)=a_n+5	a_n+5	a_(n+1)
-	a_1=1	-	1
1	a_(1+1)=a_1+5	a_1+5= 1+5	6
2	a_(2+1)=a_2+5	a_2+5= 6+5	11
3	a_(3+1)=a_3+5	a_3+5=11+5	16
4	a_(4+1)=a_4+5	a_4+5=16+5	21

Therefore, the first five terms of the sequence are 1, 6, 11, 16, and 21.

Subchapter links

Exercises p.710-714