Series / Sequences: Convert into formula

21 , 24 , 27 , 30...

Choose the correct term-to-term rule for the sequence above.

$-3n+33$

80 , 60 , 40 , 20, ...

Express the term-to-term rule of this sequence in terms of n.

$20n$

Given the series whose difference between two jumped numbers is constant:

$3,6,9,12,15$

Describe the property using the variable $n$

$a(n)=3+(n-1)\times3$

Given the series whose difference between two jumped numbers is constant:

$7,11,15,19,23$

Describe the property using the variable $n$

$a(n)=7+(n-1)\times4$

Given the series whose difference between two jumped numbers is constant:

$12,18,24,30,36$

Describe the property using the variable $n$

$a(n)=12+(n-1)\times6$

In the drawing, four main structures of the series.

Choose the algebraic expression corresponding to the number of points in place of$n$

$2(n+1)$

What is the term-to-term rule of the following sequence?

3, 6, 9, 12, ...

$3n$

What is the term-to-term rule of the following sequence?

5, 8, 11

$2+3n$

What is the term-to-term rule for the sequence below?

$-4,-3,-2,-1$

$n-5$

What is the term-to-term rule for the sequence below?

$2,5,8\ldots$

$an=3n-1$

What is the term-to-term rule for the sequence below?

$51,47,43,39\ldots$

$an=55-4n$

7 , 5 , 3 , 1

Express the term-to-term rule in terms of n.

$2n-1$

Given the series whose difference between two jumped numbers is constant:

$3,15,27,39,41$

Describe the property using the variable $n$

$a(n)=3+(n-1)\times12$

In the drawing, four main structures of the series.

Choose the algebraic expression corresponding to the number of points in place of$n$

$n^2+1$

In the drawing, four main structures of the series.

Choose the algebraic expression corresponding to the number of points in place of$n$

$2n-1$

In the drawing, four main structures of the series.

Choose the algebraic expression corresponding to the number of points in place of$n$

$2(2n-1)$

What is the term-to-term rule of the sequence below?

4, 5, 6, 7, ...

$n+3$

What is the term-to-term rule of the following sequence?

3, 7, 11, 15, ...

$4n-1$

What is the term-to-term rule for the sequence below?

$-1,3,7$

$4n-5$

What is the term-to-term rule of the following sequence?

13, 16, 19, 22

$3n+10$