Arithmetic Sequence

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is an ordered set of numbers in which the difference between consecutive terms is constant.

Front

What is the common difference in the sequence 29, 21, 13, 5, ...?

Back

d = -8

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

Find the 12th term in the sequence 5, 7, 9, 11 ...

Back

27

Front

What is the common difference in the sequence -34, -29, -24, -19, ...?

Back

d = 5

Front

If the first term of an arithmetic sequence is 2 and the common difference is 3, what is the 5th term?

Back

The 5th term is 14.

Front

What is the formula for the common difference in an arithmetic sequence?

Back

The common difference d = a_n - a_(n-1), where a_n is the nth term and a_(n-1) is the previous term.

Front

Find the 20th term of the sequence 2, 5, 8, 11 ....

Back

59

Front

What is the common difference in the sequence 10, 15, 20, 25, ...?

Back

d = 5

Front

An arithmetic sequence has a first term of 4 and a common difference of -2. What is the 6th term?

Back

The 6th term is -6.