Arithmetic and Geometric Sequences

Describe the pattern

100

Describe the pattern in the sequence.

12, 14, 16, 18, 20, .....

Adding 2

200

Describe the pattern in the sequence.

 3, 18, 108, 648, .....

Multiply by 6

300

Describe the pattern in the sequence. 

8, -16/3, 32/9, -64/27, ....

Multiply by -2/3

400

Describe the pattern in the sequence 375, 75, 15, 3, 3/5, ........

Divide by 5

500

Describe the pattern in the sequence

 506, 403, 300, 197, 94, .....

Subtract 103

Find the term

100

This is the value of the 60th of T_n=-5n + 10

What is -290?

200

The value of the 23rd term of T_n=2n-10

What is 36?

300

3, 5, 7, 9...

What is the 99th term of the sequence?

199

T_n=2n+1

400

What is the 20th term?

T_n=n²+5

405

500

What is the 6th term in the sequence 2, 8, 32, 128,

2048

Write the General Form

100

The general formula for the arithmetic sequence: 2, 6, 10, 14, 18.......

What is an=4n-2

200

The general formula for the arithmetic sequence: -1, 2, 5, 8, 11

What is an=3n-4

300

The general formula for the sequence 11,9, 7, 5, 3......

What is A_n = -2n + 13

400

The general term for the sequence: 16, 25, 34, 43, 52. Find the value of the tenth term?

What is an=9n+7, 

a₁₀=97

500

Find the general form of the sequence

1/2, 2/3, 3/4, 4/5, 5/6, ...

T_n=n/(n+1)

Find the first 3 terms

100

T_n = -3n+25

22, 19, 16

200

T_n=(n+3)(n+5)

24, 35, 48

300

T_n=n³

1, 8, 27

400

T_n=4n²

4, 16, 36

500

T_n=3n-7

-4, -1, 2