arithmetic sequence

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

Identify the first term (a1) in the sequence: 5, 10, 15, 20,...

Back

The first term (a1) is 5.

Front

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

Back

The second term is 5.

Front

Find the next term in the arithmetic sequence: 4, 7, 10, 13,...

Back

The next term is 16.

Front

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

Back

The nth term (an) can be calculated using the formula: an = a1 + (n-1)d, where a1 is the first term and d is the common difference.

Front

Determine the common difference in the sequence: 12, 8, 4, 0,...

Back

The common difference is -4.

Front

What are the next two terms in the sequence: 1, 4, 7, 10,...?

Back

The next two terms are 13 and 16.

Front

Which of the following sequences is NOT an arithmetic sequence? -7, -13, -19, -25,...; -10, -6, -2, 2; 6, 8, 10, 12; 3, 15, 75, 375

Back

3, 15, 75, 375,... is NOT an arithmetic sequence.

Front

If the first three terms of an arithmetic sequence are 13, 19, 25, what are the next two terms?

Back

The next two terms are 31 and 37.