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: 10, 20, 30, 40, ...?

Back

10

Front

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

Back

Yes

Front

Identify the next two terms of the sequence: 4, 7, 10, 13,...

Back

16 and 19

Front

How do you find the nth term of an arithmetic sequence?

Back

The nth term can be found 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 formula for the sum of the first n terms of an arithmetic sequence?

Back

The sum S_n = n/2 * (a_1 + a_n), where a_n is the nth term.

Front

Find the 26th term in the arithmetic sequence: -15, -35, -55, -75,...

Back

-515

Front

What kind of sequence has a common difference?

Back

Arithmetic

Front

If the first term of an arithmetic sequence is 5 and the common difference is 3, what is the 10th term?

Back

32

Front

What is the common difference in the sequence: 2, 5, 8, 11, ...?

Back

3