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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

Cumulative Assessment

Exercise 1 Page 212

Use the equation for an arithmetic sequence.

C

Practice makes perfect

We have been given the graph of an arithmetic sequence.

Diagram with the graph of the arithmetic sequence.

Let's list the terms of the sequence and identify the first term and the common difference.

Table containing the first four terms of the arithmetic sequence a_n=27-3*n

We notice that the first term a_1 is 24 and that the common difference of the sequence is - 3. To find a function representing this sequence we will substitute these values into the equation for an arithmetic sequence. a_n= a_1 + (n-1) d ⇓ a_n= 24 + (n-1)( - 3) To identify the correct option we need to rewrite this equation.

a_n=24 + (n-1)(- 3)

Rewrite a_n as f(n)

f(n)=24 + (n-1)(- 3)

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Simplify right-hand side

Distribute (- 3)

f(n)=24 -3n+3

Add terms

f(n)=27 -3n

This is option C.

Subchapter links

Exercises p.212-213