Arithmetic Sequences

Front

What is the common difference in an arithmetic sequence?

Back

The common difference (d) is the distance from one term to the next in an arithmetic sequence.

Front

Is the sequence arithmetic: -3, 3, -3, 3, ...?

Back

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

Front

Find the common difference: -34, -29, -24, -19, ...

Back

d = 5

Front

Find the common difference: -18, -23, -28, -33, ...

Back

d = -5

Front

Find the 32nd term of this sequence: 9, 4, -1, -6, -11, ...

Back

-146

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 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 first term of the sequence: 5, 10, 15, ...?

Back

The first term (a_1) is 5.

Front

If the first term is 2 and the common difference is 3, what is the 10th term?

Back

The 10th term is 29.

Front

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

Back

The sum (S_n) is given by S_n = n/2 * (a_1 + a_n), where a_n is the nth term.