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

Find the 5th term in the arithmetic sequence: 2, 5, 8, 11, ...

Back

The 5th term is 14.

Front

If the first term of an arithmetic sequence is 4 and the common difference is 3, what is the 10th term?

Back

The 10th term is 31.

Front

Determine the common difference in the sequence: 10, 15, 20, 25, ...

Back

The common difference is 5.

Front

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

Back

The nth term (a_n) 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

Find the 12th term in the sequence: 5, 7, 9, 11 ...

Back

The 12th term is 27.

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

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.

Front

Find the 46th term of the arithmetic sequence: 3, 8, 13, 18, 23, ...

Back

The 46th term is 228.