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 common difference in an arithmetic sequence?

Back

The common difference is the constant amount that each term in the sequence increases or decreases by.

Front

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

Back

The nth term can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term, d is the common difference, and n is the term number.

Front

What is the first term (a_1) in the sequence 2, -1, -4, -7...?

Back

The first term (a_1) is 2.

Front

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

Back

The common difference is -3.

Front

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

Back

The 20th term is 59.

Front

Evaluate f(-2) if f(x) = x + 3.

Back

f(-2) = 1.

Front

What is the formula for the nth term of the sequence -6, -14, -22, -30...?

Back

The formula is a_n = -6 + (n-1)(-8).

Front

What is the common difference of the sequence -6, -14, -22, -30...?

Back

The common difference is -8.

Front

If f(x) = 2x^2 + 5x - 17, find f(-1).

Back

f(-1) = -20.