Arithmetic and Geometric Sequences

Name that Sequence

100

Is the following sequence Arithmetic, Geometric or Neither? 12, 14, 16, 18, 20, .....

What is arithmetic?

200

Is the following sequence Arithmetic, Geometric or Neither? 3, 8, 13, 18, 22, .....

What is arithmetic?

300

Is the following sequence Arithmetic, Geometric or Neither? 4, 11, 17, 24, 34, ....

What is neither?

400

Is the following sequence Arithmetic, Geometric or Neither? If so, what is the common difference or common ratio? 375, 75, 15, 3, 3/5, ........

What is geometric?

500

Is the following sequence Arithmetic, Geometric or Neither? If so, what is the common difference or common ratio? 2, 4, 8, 16, .....

What is geometric?

Explicit Formula

100

The explicit formula for the arithmetic sequence: 2, 6, 10, 12, 16.......

What is an=4n-2

200

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

What is an=3n-4

300

The explicit formula for the sequence 3, 9, 27, 81,......

What is An = 3 * 3^(n-1)

400

The explicit formula for the sequence: -16, -25, -34, -43, -52 Find the value of the tenth term

What is an=-7-9n, a10=-97

500

The explicit formula for the sequence 2, 8, 32, 128, ....... What is the value of the 10th term?

What is An = 2 * 4^(n-1) A(10) = 524288

Recursive Formula

100

Write a recursive formula for a_n, the n^th term of the sequence 13,15,17,19,...

a₁=13

a_n=a_n-1+2

200

Write a recursive formula for a_n, the n^th term of the sequence 12, 8, 4, 0, -4, ... 

a₁=12

a_n=a_n-1-4

300

Write a recursive formula for a_n, the n^th  term of the sequence 3,6,12,24,...

a₁=3

a_n=3a_n-1

400

Write a recursive formula for a_n, the n^th  term of the sequence4, 8, 16, 32, 64, ...

a₁=4

a_n=2a_n-1

500

Write a recursive formula for a_n, the n^th  term of the sequence 12, 6, 3, .. .

a₁=12

a_n=(1/2)a_n-1