How do you find the 64th term of the sequence defined by $$a_n = 5n + 4$$ ?

To find the 64th term, substitute n with 64: $$a_{64} = 5(64) + 4 = 320 + 4 = 324$$ .

What is the first term of the sequence defined by $$a_n = 5n + 4$$ ?

The first term is found by substituting n with 1: $$a_1 = 5(1) + 4 = 5 + 4 = 9$$ .

Identify the first four terms of the sequence defined by $$a_n = -4n - 1$$ .

The first four terms are: $$a_1 = -5$$ , $$a_2 = -9$$ , $$a_3 = -13$$ , $$a_4 = -17$$ .

What is the common difference in the sequence 10, -2, -14, -26, ...?

The common difference is -12, as each term decreases by 12.

Write the explicit formula for the sequence 216, 72, 24, 8, ...

The explicit formula is $$a_n = 216 \cdot \left(\frac{1}{3}\right)^{(n-1)}$$ .

What is the common ratio in the sequence 216, 72, 24, 8, ...?

The common ratio is $$\frac{1}{3}$$ , as each term is multiplied by $$\frac{1}{3}$$ to get the next term.

How do you identify if a sequence is arithmetic?

A sequence is arithmetic if the difference between consecutive terms is constant.

How do you identify if a sequence is geometric?

A sequence is geometric if the ratio of consecutive terms is constant.

What is the first term of the sequence defined by $$a_n = 10 - 12(n - 1)$$ ?

The first term is found by substituting n with 1: $$a_1 = 10 - 12(1 - 1) = 10$$ .

What is the formula for the nth term of an arithmetic sequence?

The formula for the nth term of an arithmetic sequence is $$a_n = a_1 + (n - 1)d$$ , where $$a_1$$ is the first term and $$d$$ is the common difference.

What is the formula for the nth term of a geometric sequence?

The formula for the nth term of a geometric sequence is $$a_n = a_1 \cdot r^{(n-1)}$$ , where $$a_1$$ is the first term and $$r$$ is the common ratio.

ALG 1 - PRACTICE TEST #1 on Absolute Value Functions & Sequenc Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a recursive formula?

Back

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CCSS.HSF.BF.A.2

2.

FLASHCARD QUESTION

Front

What is an explicit formula?

Back

Tags

CCSS.HSF.BF.A.2

3.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.BF.A.2

4.

FLASHCARD QUESTION

Front

Back

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CCSS.HSF.BF.A.2

5.

FLASHCARD QUESTION

Front

Back

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CCSS.HSF.BF.A.2

6.

FLASHCARD QUESTION

Front

What is the difference between recursive and explicit formulas?

Back

Recursive formulas use previous terms to define the next term, while explicit formulas define the nth term directly without reference to previous terms.

Tags

CCSS.HSF.BF.A.2

7.

FLASHCARD QUESTION

Front

Write the explicit formula for the sequence 10, -2, -14, -26, ...

Back

Tags

CCSS.HSF.BF.A.2

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