a n = a 1 + ( n − 1 ) d a_n=a_1+\left(n-1\right)d a n = a 1 + ( n − 1 ) d , where n is the position in the sequence and d is the difference between terms.

Explicit Formula for an Arithmetic Sequence

Explicit Formula for a Geometric Sequence

Write a sequence to represent the number of smiley faces in each group. Select all that apply.

a n = 4 + ( n − 1 ) 2 a_n=4+\left(n-1\right)2 a n = 4 + ( n − 1 ) 2

f ( n ) = 4 + 2 ( n − 1 ) f\left(n\right)=4+2\left(n-1\right) f ( n ) = 4 + 2 ( n − 1 )

a n = a n − 1 + 2 a_n=a_{n-1}+2 a n = a n − 1 + 2

f ( n ) = 2 + 4 ( n − 1 ) f\left(n\right)=2+4\left(n-1\right) f ( n ) = 2 + 4 ( n − 1 )

a n = a n − 1 − 2 a_n=a_{n-1}-2 a n = a n − 1 − 2

Recursive & Explicit Sequences

Quiz

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF.BF.A.2, HSF.IF.A.3

Standards-aligned

Kimberly Smith

Used 609+ times

FREE Resource

16 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write the recursive formula for 6, 17, 28, 39, 50....

a_n=a_n-1+11
a₁=6

a_n=a_n-1-4
a₁=6

a_n=a_n-1+9
a₁=6

a_n=a_n-1+6
a₁=6

Tags

CCSS.HSF.BF.A.2

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A formula that requires the computation of all previous terms to find the value of a_n.

Explicit Formula

Recursive Formula

Arithmetic Formula

Geometric Formula

Tags

CCSS.HSF.BF.A.2

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the 15th term of the sequence an = -3n+50

95

-5

5

-95

Tags

CCSS.HSF.BF.A.2

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Identify the common difference.
-6, -3, 0, 3, 6....

4

3

-4

-3

Tags

CCSS.HSF.BF.A.2

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write a recursive formula for the following sequence:
10, 5, 0, -5,...

a₁= 10

a_n= a_n-1 - 5

a₁= 10

a_n= a_n-1 + 5

a₁= 10

a_n= a_n (5)

a₁= 10

a_n= a_n-1 (5)

Tags

CCSS.HSF.IF.A.3

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the following equations is explicit?

f(n) = 4n + 5

f(n) = f(n-1) x 5

Tags

CCSS.HSF.BF.A.2

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the following equations is recursive?

f(n) = f(n-1) +4

f(n) = 2n - 5

Tags

CCSS.HSF.IF.A.3

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Recursive & Explicit Sequences

16 questions

Write the recursive formula for 6, 17, 28, 39, 50....

A formula that requires the computation of all previous terms to find the value of a_n.

What is the 15th term of the sequence an = -3n+50

Identify the common difference.
-6, -3, 0, 3, 6....

Write a recursive formula for the following sequence:
10, 5, 0, -5,...

Which of the following equations is explicit?

Which of the following equations is recursive?

Which is an arithmetic sequence?

What does a₁ represent?

Find $a_4$ for the sequence 2, 9, 16, 23, 30,...

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Recursive & Explicit Sequences

16 questions

Write the recursive formula for 6, 17, 28, 39, 50....

A formula that requires the computation of all previous terms to find the value of an.

What is the 15th term of the sequence an = -3n+50

Identify the common difference.-6, -3, 0, 3, 6....

Write a recursive formula for the following sequence: 10, 5, 0, -5,...

Which of the following equations is explicit?

Which of the following equations is recursive?

Which is an arithmetic sequence?

What does a1 represent?

Find a4a_4a4​ for the sequence 2, 9, 16, 23, 30,...

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

A formula that requires the computation of all previous terms to find the value of a_n.

Identify the common difference.
-6, -3, 0, 3, 6....

Write a recursive formula for the following sequence:
10, 5, 0, -5,...

What does a₁ represent?

Find $a_4$ for the sequence 2, 9, 16, 23, 30,...