What is the first term of the arithmetic sequence defined by $$a_n = 4 + 5(n-1)$$ ?

The first term is 4, as it is the value of $$a_1$$ when $$n=1$$ .

Write the recursive formula for an arithmetic sequence with first term 10 and common difference 2.

The recursive formula is $$a_{n+1} = a_n + 2$$ .

What is the 10th term of the arithmetic sequence defined by $$a_n = 7 + 3(n-1)$$ ?

The 10th term is 34, calculated as follows: $$a_{10} = 7 + 3(10-1) = 7 + 27 = 34$$ .

How do you determine the price of an ice cream cone with toppings?

The price can be represented by the equation: $$y = 1.5x + 5$$ , where $$x$$ is the number of toppings.

What is the formula to find the common difference in a sequence?

The common difference $$d$$ can be found using the formula: $$d = a_{n+1} - a_n$$ .

If the sequence is 29, 21, 13, 5, what is the common difference?

The common difference is -8, as each term decreases by 8.

What does the term 'recursive formula' mean in the context of sequences?

A recursive formula defines each term of a sequence based on the previous term(s). For arithmetic sequences, it typically takes the form $$a_{n+1} = a_n + d$$ .

How can you find the 15th term of the sequence defined by $$a_n = 4 + 5(n-1)$$ ?

To find the 15th term, substitute $$n=15$$ into the formula: $$a_{15} = 4 + 5(15-1) = 4 + 70 = 74$$ .

What is the significance of the first term in an arithmetic sequence?

The first term is the starting point of the sequence and is essential for calculating subsequent terms using the common difference.

Arithmetic Sequences as Functions Flashcard Flashcards

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1.

FLASHCARD QUESTION

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. This difference is called the common difference.

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CCSS.HSF.BF.A.2

2.

FLASHCARD QUESTION

Front

How do you find the nth term of an arithmetic sequence?

Back

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CCSS.HSF.BF.A.2

3.

FLASHCARD QUESTION

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the fixed amount that each term increases or decreases by in an arithmetic sequence. It can be found by subtracting any term from the subsequent term.

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CCSS.HSF.BF.A.2

4.

FLASHCARD QUESTION

Front

Given the sequence 5, 8, 11, 14, what is the common difference?

Back

The common difference is 3, as each term increases by 3.

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CCSS.HSF.BF.A.2

5.

FLASHCARD QUESTION

Front

How do you write an equation for the nth term of an arithmetic sequence?

Back

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CCSS.HSF.BF.A.2

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.BF.A.2

7.

FLASHCARD QUESTION

Front

If the first term of an arithmetic sequence is 15 and the common difference is 3, what is the 5th term?

Back

Tags

CCSS.HSF.BF.A.2

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