Sequences and Formulas
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Questions and Answers

What are the two formulas students will be able to create using a sequence?

Students will be able to create a recursive formula and an explicit formula.

What is the purpose of simplifying the explicit formula?

The purpose of simplifying the explicit formula is to make it easier to work with and understand.

How can students determine the nth term using both formulas?

Students can determine the nth term by substituting the value of n into both formulas and comparing the results.

Which term in the arithmetic sequence can be represented by the equation $a_n = a_1 + d(n-1)$?

<p>The last term (B)</p> Signup and view all the answers

What does the common difference represent in an arithmetic sequence?

<p>The rate of change (A)</p> Signup and view all the answers

How can the y-intercept of the linear function representing an arithmetic sequence be found?

<p>By subtracting the common difference from the first term (A)</p> Signup and view all the answers

If the common difference of an arithmetic sequence is -50 and the first term is 200, what is the y-intercept of the linear function representing the sequence?

<p>250 (C)</p> Signup and view all the answers

What type of function does an arithmetic sequence represent?

<p>Linear function (B)</p> Signup and view all the answers

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