NUMBER PATTERN AND GENERAL TERM

A

100

Find the next 3 terms and the algebraic expression:

3,5,7

9,11,13

3n+2

200

What is the 80th term in the expression:

3n-4

236

300

State the rule of this sequence:

13,  7,  1, -5, ....

Subtract 6 from the previous term

400

What is the algebraic expression of this pattern:

5,15,25

10n-5

500

Given that T_n = 4n+5,,

Which position is the term 25 in the sequence?

n=20

B

100

What is the 65th term in the expression:

8n+9

529

200

Find the 45th term in the pattern given that 

T_n = 56n+3

2,523

300

Find the next 2 terms for the series:

1, 4, 9, 16 ....

25, 36

400

What is the algebraic expression of this pattern: 8, 10, 12

2n+6

500

Given that Tn =13n - 2,

which position is the term 63 in the sequence?

n=5

C

100

Find the next 3 terms in this pattern and the algebraic expression:

6,14,22

8n-2

30,38,46

200

Using this algebraic expression find the first 3 terms in the pattern where T_n = 8n+3

11, 19, 27

300

Find the next 3 terms in the pattern 

4,10,16

22, 28, 34

400

What is the algebraic expression of this pattern?

7, 13,19

6n+1

500

Given that T_n = 2n - 5, is 275 a term in this sequence?

Yes, 275 is the 140th term

D

100

Find the first 3 terms in the algebraic expression:

12n+5

17,29,41

200

What is the 60th term in the pattern with the algebraic expression: 9p-5

535

300

What is the algebraic expression of this pattern:

5,9,13

4n+1

400

What is the algebraic expression of this pattern:

9, 14, 19,

5n+4

500

Can 150 be a term in the sequence with T_n = 4n + 7?

No, n = 35.75 and is not a whole number

E

100

Continue the sequence:

13, 20, 27, ____, _____, 

34, 41

200

Find T₇ when T_n = -3n + 5

-16

300

Find the general term for this sequence:

3, 6, 9 , 12, 15...

Tn = 3n

400

Find the general term for this sequence:

15,  25,   35,    45

 

10n + 5

500

Can -123 be a term in the sequence where 

T_n = -5n + 2 ? 

Yes, it is the 25th term