Arithmetic and Geometric Sequences

Front

The individual numbers in a sequence are called...

Back

Term

Front

What is the 10th term of the sequence a(n) = 20-2n?

Back

0

Front

Is the sequence 7, 9, 12, 16,... geometric?

Back

No

Front

Create the formula for the sequence: 2, 8, 14,... (Hint: Write your formula and then simplify it.)

Back

a_n = 6n - 4

Front

What is the common ratio in this sequence? {96, 48, 24, 12, ... }

Back

1/2

Front

What is an arithmetic sequence?

Back

A sequence in which the difference between consecutive terms is constant.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is a geometric sequence?

Back

A sequence in which each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

What is the formula for the nth term of a geometric sequence?

Back

a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

Front

If the first term of an arithmetic sequence is 5 and the common difference is 3, what is the 4th term?

Back

14