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Understanding Sequences and Closed Formulas

Understanding Sequences and Closed Formulas

Assessment

Interactive Video

Mathematics

7th - 10th Grade

Practice Problem

Hard

CCSS
HSF.BF.A.2

Standards-aligned

Created by

Jackson Turner

FREE Resource

Standards-aligned

CCSS.HSF.BF.A.2
The video tutorial explains how to write the first five terms of a sequence starting with a sub zero, using a recursive definition. It then guides viewers through determining a closed formula for the sequence. The process involves calculating initial terms, identifying a pattern, and verifying the closed formula using factorial numbers. The tutorial concludes with a confirmation of the formula's correctness.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial value of a sub zero in the given sequence?

2

1

4

3

Tags

CCSS.HSF.BF.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is a sub one calculated in the sequence?

1 times a sub zero

2 times a sub zero

3 times a sub zero

4 times a sub zero

Tags

CCSS.HSF.BF.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of a sub two in the sequence?

12

9

6

3

Tags

CCSS.HSF.BF.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate a sub three using the recursive formula?

3 times a sub two

3 times a sub one

3 times a sub zero

3 times a sub three

Tags

CCSS.HSF.BF.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of a sub four in the sequence?

36

54

18

72

Tags

CCSS.HSF.BF.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What pattern is used to find the closed formula for the sequence?

Fibonacci sequence

Arithmetic progression

Geometric progression

Factorial numbers

Tags

CCSS.HSF.BF.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the closed formula derived for the sequence?

a sub n equals 3 times n factorial

a sub n equals 4 times n factorial

a sub n equals 2 times n factorial

a sub n equals n factorial

Tags

CCSS.HSF.BF.A.2

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