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Big Ideas Math Algebra 2, 2014

BI

Big Ideas Math Algebra 2, 2014 View details

5. Using Recursive Rules with Sequences

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Exercise 36 Page 447

The explicit rule of an arithmetic sequence combines the information provided by the two equations of the recursive rule into a single equation.

Recursive : Explicit : a_{n} = a_{n - 1} + d; a_{1} = a_{1} a_{n} = a_{1} + (n - 1) d

In both of these rules,

d

is the common difference and

a_{1}

is the first term. Let's start by substituting

1

for

n

in the given rule in order to find the value of

a_{1} .

Subchapter links

Communicate Your Answer p.441

Monitoring Progress p.442-446

Exercises p.447-450