# 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.

Check

## Transum.org

This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

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#### Great Expectation

An interactive online activity requiring logical thinking and a certain amount of luck. Numbers 1 to 6 are presented randomly and are to be used to produce two 2-digit numbers. Can you ensure that the first number is greater than the second?

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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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