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 an arithmetic sequence?

Back

The common difference is the fixed amount that each term increases or decreases by in an arithmetic sequence.

Front

How do you find the common difference in the sequence: 29, 21, 13, 5?

Back

The common difference is -8, calculated as 21 - 29.

Front

What are the next three terms in the arithmetic sequence: -33, -24, -15, -6?

Back

The next three terms are 3, 12, 21.

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

Back

The 26th term is -515.

Front

Is the sequence 78, 785, 7855, 78555 arithmetic?

Back

No, this sequence is not arithmetic because the difference between terms is not constant.

Front

What is the 35th term in the arithmetic sequence: -10, -14, -18, -22?

Back

The 35th term is -146.

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

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

Back

The 10th term is 32.