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

How do you find the common difference in an arithmetic sequence?

Back

The common difference (d) is found by subtracting any term from the subsequent term: d = a(n+1) - a(n).

Front

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

Back

d = 3

Front

Is the sequence arithmetic: 4, 8, 12, 16, ...?

Back

Yes

Front

Is the sequence arithmetic: 10, 20, 30, 40, ...?

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, 4, 7, 10, ...

Back

13, 16, 19

Front

What is the nth term formula for 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 10th term of the arithmetic sequence: 3, 6, 9, ...

Back

a_10 = 3 + (10-1)3 = 30.

Front

Is the sequence arithmetic: 5, 10, 20, 40, ...?

Back

No