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

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

Back

The common difference (d) is found by subtracting any term from the subsequent term in the sequence.

Front

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

Back

d = 3

Front

Find the common difference: 10, 7, 4, 1, ...

Back

d = -3

Front

What is a₁ in the sequence: 4, 9, 14, 19, ...?

Back

a₁ = 4

Front

What is the formula for the n^th term of an arithmetic sequence?

Back

The n^th term (a_n) can be found using the formula: a_n = a₁ + (n-1)d.

Front

Find the 10^th term of the sequence: 1, 3, 5, 7, ...

Back

a₁₀ = 19

Front

Find the 15^th term of the sequence: 5, 10, 15, 20, ...

Back

a₁₅ = 80

Front

What is the common difference in the sequence: -2, 1, 4, 7, ...?

Back

d = 3

Front

Find the 5^th term of the sequence: 12, 15, 18, 21, ...

Back

a₅ = 24