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

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

Identify the common difference: 10, 20, 30, 40, ...

Back

10

Front

Write the recursive rule for the arithmetic sequence: -49, -35, -21, -7, ...

Back

a₁ = -49; aₙ = aₙ₋₁ + 14

Front

Is the sequence arithmetic? 17, 9, 1, -7, ...

Back

Yes

Front

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

Back

d = -5

Front

Find a₁ in the arithmetic sequence: 5, 12, 19, 26...

Back

a₁ = 5

Front

How do you find the nth term of an arithmetic sequence?

Back

The nth term can be found using the formula: aₙ = a₁ + (n-1)d, where d is the common difference.

Front

What is the 20th term in the arithmetic sequence: 5, 12, 19, 26...?

Back

138

Front

If the first term is 3 and the common difference is 4, what is the 5th term?

Back

19