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 the sequence: 1, 201, 401, 601, ...?

Back

d = 200

Front

Is the sequence 17, 9, 1, -7, ... arithmetic?

Back

Yes

Front

What is the common difference in the sequence: -18, -23, -28, -33, ...?

Back

d = -5

Front

Define common difference.

Back

The common difference is the difference between two consecutive terms of an arithmetic sequence.

Front

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

Back

3, 12, 21

Front

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

Back

8

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

Find the common difference in the sequence: 10, 15, 20, 25, ...

Back

d = 5

Front

Is the sequence 2, 4, 8, 16, ... arithmetic?

Back

No