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 (d) is found by subtracting any term from the subsequent term in the sequence.

Front

Given the sequence -34, -29, -24, -19, what is the common difference?

Back

The common difference is d = 5.

Front

Given the sequence -18, -23, -28, -33, what is the common difference?

Back

The common difference is d = -5.

Front

What is the explicit formula for the nth term of an arithmetic sequence?

Back

The explicit formula is a_n = a_1 + (n - 1)d, where a_1 is the first term and d is the common difference.

Front

If a_1 = 5 and d = 0.5, what is the 25th term of the sequence?

Back

The 25th term is 17.

Front

What is the formula to 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.

Front

How do you determine the range of a function given a specific domain?

Back

To determine the range, substitute each value from the domain into the function and calculate the corresponding outputs.

Front

For the function y = 2x - 5, what is the range given the domain {5, 7, 9, 11}?

Back

The range is {5, 9, 13, 17}.

Front

What is the first term of the arithmetic sequence if a_1 = 5?

Back

The first term is 5.