Intro to Arithmetic Sequences

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the fixed amount that each term increases or decreases by in an arithmetic sequence.

Front

Find the common difference: 3, 7, 11, 15, ...

Back

d = 4

Front

Find the common difference: 10, 7, 4, 1, ...

Back

d = -3

Front

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

Back

The nth term (a_n) can be calculated using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is the 5th term in the sequence: 2, 5, 8, 11, ...?

Back

The 5th term is 14.

Front

Is the sequence 5, 10, 15, 20, ... arithmetic?

Back

Yes, it is an arithmetic sequence with a common difference of 5.

Front

Identify the common difference in the sequence: -2, 1, 4, 7, ...

Back

d = 3

Front

What is the missing term in the sequence: 4, ____, 16?

Back

The missing term is 8.

Front

Which of the following is NOT an arithmetic sequence: 1, 3, 5, 7,... or 2, 4, 8, 16,...?

Back

2, 4, 8, 16,... is NOT an arithmetic sequence.