 # Parts of Sequences

## Find the formula that describes the part of the sequence that can be seen

##### Word 1Word 2Word 3Word 4Word 5Trophy
A

$$2n+3$$

E

$$8n+4$$

D

$$3n+1$$

H

$$n+10$$

L

$$5n-7$$

N

$$4n+3$$

V

$$6n-1$$

Y

$$7n-3$$

14, 15, 16, 17, 18   13, 15, 17, 19, 21   3, 8, 13, 18, 23, 28   23, 29, 35, 41, 47   12, 20, 28, 26, 44   Type the letters of the formulas for the nth terms of the parts of sequences shown above.

B

$$10-3n$$

E

$$3n+10$$

F

$$7-2n$$

H

$$7+2n$$

K

$$6-2n$$

M

$$6+2n$$

R

$$5(n-7)$$

T

$$5(7-n)$$

-15, -20, -25, -30   27, 29, 31, 33, 35   25, 30, 35, 40, 45   16, 19, 22, 25, 28   31, 34, 37, 40, 43   Type the letters of the formulas for the nth terms of the parts of sequences shown above.

A

$$2^n$$

E

$$3(2^n)$$

I

$$3^n$$

L

$$2(3^n)$$

M

$$15-2^n$$

S

$$30-3^n$$

T

$$2(5-2^n)$$

U

$$2^n-7$$

6, 2, -6, -22, -54   3, 9, 27, 81, 243   11, 7, -1, -17, -49   12, 24, 48, 96, 192   27, 21, 3, -51, -213   Type the letters of the formulas for the nth terms of the parts of sequences shown above.

I

$$5 \times 2^n$$

U

$$(n-1)^2$$

A

$$n^3 - n^2$$

S

$$2n+n^2$$

E

$$33-n^3$$

N

$$n(n-3)$$

O

$$5n(n+1)$$

M

$$n^2-1$$

35, 48, 63, 80, 99, 120   10, 20, 40, 80, 160   10, 18, 28, 40, 54, 70   16, 25, 36, 49, 64   24, 35, 48, 63, 80, 99   Type the letters of the formulas for the nth terms of the parts of sequences shown above.

A

$$\frac{n^2}{3n-1}$$

E

$$n^2-37$$

I

$$\frac{n^2}{n-1}$$

N

$$(n-2)^2$$

O

$$\frac{24}{n}$$

S

$$\frac12n(n-1)$$

T

$$\sqrt{n^3}$$

V

$$n^n$$

10, 15, 21, 28, 36, 45, 55   27, 44, 63, 84, 107, 132   1, 4, 27, 256, 3125, 46656   -33, -28, -21, -12, -1, 12   16, 25, 36, 49, 64, 81, 100   Type the letters of the formulas for the nth terms of the parts of sequences shown above.

_ _ _ _ _   _ _ _ _ _   _ _ _ _ _   _ _ _ _ _   _ _ _ _ _

When you have found the five words you will see that together they make a sentence. That sentence is an instruction to do a calculation.

Enter the result of that calculation into the box below:  If you have entered all five words correctly and found the result of the calculation you will be awarded a trophy.

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## Transum.org

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## Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths main page links to more activities designed for students in upper Secondary/High school.

## Teachers

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