Arithmetic Sequences Review

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

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

Back

The first term, denoted as a₁, is the initial term of the sequence.

Front

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

Back

The explicit formula is given by aₙ = a₁ + (n-1)d, where d is the common difference.

Front

What is the recursive formula for an arithmetic sequence?

Back

The recursive formula is given by a₁ = a₁ (first term) and aₙ = aₙ₋₁ + d (for n > 1).

Front

Given the sequence -6, -14, -22, -30, what is a₁?

Back

a₁ = -6.

Front

For the sequence 16, 13, 10, 7, what is the explicit formula for aₙ?

Back

aₙ = 16 - 3(n-1).

Front

For the sequence 2, 9, 16, 23, what is the explicit formula for aₙ?

Back

aₙ = 2 + 7(n-1).

Front

Write a recursive formula for the sequence 10, 5, 0, -5.

Back

a₁ = 10; aₙ = aₙ₋₁ - 5.

Front

Write a linear function rule for the sequence 21, 19, 17, 15.

Back

f(x) = 23 - 2x.