Arithmetic & Geometric Sequence Final Review

Front

Which sequence is an arithmetic sequence?

Back

3, 7, 11, 15, ...

Front

What is a_1 in the following sequence: -6, -14, -22, -30, ...?

Back

-6

Front

What is the 67th term of the following arithmetic sequence: 13, 22, 31, 40, ...?

Back

607

Front

Arithmetic sequences are generated using repetitive ________________.

Back

addition and subtraction

Front

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

Back

1/2

Front

Define an arithmetic sequence.

Back

A sequence of numbers 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 d is the common difference.

Front

What is the common difference in the sequence: 5, 10, 15, 20, ...?

Back

5

Front

How do you find the sum of the first n terms of an arithmetic sequence?

Back

S_n = n/2 * (a_1 + a_n) or S_n = n/2 * (2a_1 + (n-1)d).

Front

What is a geometric sequence?

Back

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