Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
6. Recursively Defined Sequences
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Exercise 53 Page 320

Practice makes perfect
a We are given a recursive rule for a sequence.

a_1=3, a_n=a_(n-1) +2 To generate the first ten terms of the sequence, we will use spreadsheet. Enter the first term a_1=3 into cell A1. Then enter =A1+2 into cell A2. Using the fill down feature, the spreadsheet generates these terms.

b We are given a recursive rule for a sequence.

a_1=3, a_n=4a_(n-1) To generate the first ten terms of the sequence, we will use spreadsheet. Enter the first term a_1=3 into cell A1. Then enter =4*A1 into cell A2. Using the fill down feature, the spreadsheet generates these terms.

c We are given a recursive rule for a sequence.

a_1=3, a_2=7, a_n=a_(n-1)-a_(n-2) To generate the first ten terms of the sequence, we will use spreadsheet. Enter the first term a_1=3 into cell A1 and the second term a_2=7 into cell A2. Then enter =A2-A1 into cell A3. Using the fill down feature, the spreadsheet generates the terms.