Understanding Closed Formulas for Sequences

Understanding Closed Formulas for Sequences

Assessment

Interactive Video

Mathematics

7th - 12th Grade

Hard

CCSS
HSF.BF.A.2, HSF-IF.C.7E, HSA.SSE.B.4

Standards-aligned

Created by

Jackson Turner

FREE Resource

Standards-aligned

CCSS.HSF.BF.A.2
,
CCSS.HSF-IF.C.7E
,
CCSS.HSA.SSE.B.4
The video tutorial explains how to find closed formulas for sequences by relating them to known sequences. It covers four sequences, analyzing each to derive a closed formula. The tutorial emphasizes the importance of adjusting formulas when the first term differs from the standard sequence. It provides step-by-step examples for sequences resembling powers of two, square numbers, product sequences, and triangular numbers.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary goal when finding a closed formula for a sequence?

To match the sequence with a known sequence

To ensure the sequence is infinite

To determine the sequence's limit

To find the sum of the sequence

Tags

CCSS.HSF.BF.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which sequence does sequence A resemble?

Fibonacci sequence

Powers of two

Arithmetic sequence

Geometric sequence

Tags

CCSS.HSF-IF.C.7E

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What adjustment is made to the powers of two to match sequence A?

Add 3 to each term

Subtract 3 from each term

Divide each term by 3

Multiply each term by 3

Tags

CCSS.HSF.BF.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial incorrect assumption for the closed formula of sequence B?

n squared plus one

n minus one squared

n squared minus one

n plus one squared

Tags

CCSS.HSF.BF.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the formula for sequence B corrected?

By using n squared plus one

By using n plus one squared minus one

By using n squared minus two

By using n minus one squared plus one

Tags

CCSS.HSF.BF.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of sequence is sequence C identified as?

Arithmetic sequence

Fibonacci sequence

Geometric sequence

Sequence of products

Tags

CCSS.HSF.BF.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the pattern used to derive the formula for sequence C?

n times n plus one

n plus n

n plus n plus one

n times n

Tags

CCSS.HSA.SSE.B.4

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