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

How do you find the common difference in an arithmetic sequence?

Back

The common difference can be found by subtracting any term from the subsequent term in the sequence.

Front

What is the formula for the n-th term of an arithmetic sequence?

Back

The n-th term (a_n) of an arithmetic sequence 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 common difference of the sequence 5, 10, 15, 20?

Back

The common difference is 5.

Front

If the first term of an arithmetic sequence is 2 and the common difference is 3, what is the 10th term?

Back

The 10th term is 29.

Front

Which of the following sequences is NOT an arithmetic sequence: 1, 4, 7, 10 or 2, 5, 11, 17?

Back

2, 5, 11, 17 is NOT an arithmetic sequence because the differences are not constant.

Front

What are the next two terms in the arithmetic sequence 4, 8, 12?

Back

The next two terms are 16 and 20.

Front

How can you determine if a sequence is arithmetic?

Back

A sequence is arithmetic if the difference between consecutive terms is the same.

Front

What is the explicit formula for the n-th term of the arithmetic sequence 3, 7, 11, 15?

Back

The explicit formula is a_n = 3 + 4(n-1).

Front

If an arithmetic sequence has a common difference of -2 and the first term is 10, what is the 5th term?

Back

The 5th term is 0.