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 that each term increases or decreases by in an arithmetic sequence.

Front

Find the next three terms in the arithmetic sequence: 2, 5, 8, 11, ...

Back

14, 17, 20

Front

Identify the common difference in the sequence: 10, 7, 4, 1, ...

Back

-3

Front

Which type of sequence has a common ratio?

Back

Geometric sequence.

Front

Write the recursive rule for the arithmetic sequence: 5, 8, 11, 14, ...

Back

a₁=5; aₙ = aₙ₋₁ + 3

Front

Write the explicit formula for the arithmetic sequence: 3, 6, 9, 12, ...

Back

aₙ = 3 + (n-1) * 3

Front

If the first term of an arithmetic sequence is 4 and the common difference is 2, what is the 10th term?

Back

22

Front

What is the formula to find the nth term of an arithmetic sequence?

Back

aₙ = a₁ + (n-1)d, where a₁ is the first term and d is the common difference.

Front

Find the 5th term in the arithmetic sequence: -2, 1, 4, 7, ...

Back

10