Alg 2 - Arithmetic Sequences Practice

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 added to each term to get the next term in the sequence.

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 explicit formula for the arithmetic sequence 2, 5, 8, ...?

Back

a_n = 2 + 3(n - 1), where 3 is the common difference.

Front

If the first term of an arithmetic sequence is 10 and the common difference is 4, what is the 5th term?

Back

The 5th term is 10 + 4(5 - 1) = 10 + 16 = 26.

Front

True or False: The sequence 1, 4, 7, 10 is an arithmetic sequence.

Back

True.

Front

What is the sum of the first n terms of an arithmetic sequence?

Back

The sum can be calculated using the formula: S_n = n/2 * (a_1 + a_n), where S_n is the sum of the first n terms.

Front

How many chimes does a clock make in a 24-hour day if it chimes once at 1:00, twice at 2:00, and so on?

Back

156 total chimes.

Front

What is the common difference of the arithmetic sequence 14, 20, 26, ...?

Back

The common difference is 6.

Front

Find the explicit formula for the sequence -23, -16, -9, -2, ...

Back

a_n = -23 + 7(n - 1).