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 (d) is the constant amount that each term in the sequence increases or decreases by.

Front

Find the common difference: 2, 5, 8, 11, ...

Back

d = 3

Front

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

Back

17, 20, 23

Front

Is the sequence arithmetic: 10, 15, 20, 25, ...?

Back

Yes

Front

Find the common difference: 15, 10, 5, 0, ...

Back

d = -5

Front

Find the next three terms in the arithmetic sequence: 1, 3, 5, 7, ...

Back

9, 11, 13

Front

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

Back

The nth term (a_n) 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

Find the 10th term of the arithmetic sequence: 3, 6, 9, 12, ...

Back

30

Front

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

Back

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