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

What is the first term (a₁) in the sequence -6, -14, -22, -30?

Back

-6

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.

Front

Find the common difference in the sequence -34, -29, -24, -19.

Back

d = 5

Front

What is the formula for the nth term of an arithmetic sequence?

Back

The nth term (aₙ) can be calculated using the formula: aₙ = a₁ + (n-1)d.

Front

Find the 20th term of the sequence 2, 5, 8, 11.

Back

59

Front

What is the common difference in the sequence 29, 21, 13, 5?

Back

d = -8

Front

What does the vertical line test determine in relation to graphs?

Back

The vertical line test determines if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

If the first term of an arithmetic sequence is 10 and the common difference is 3, what is the 5th term?

Back

The 5th term is 22.

Front

What is the 10th term of the arithmetic sequence 4, 7, 10, 13?

Back

The 10th term is 34.