Algebra II Semester 1 Final V-3

Front

What is the common difference in an arithmetic sequence?

Back

It is the fixed amount added to each term to get the next term.

Front

How do you set up Synthetic Division for \(x^3-3x^2+2x-1 \div x-1\)?

Back

Use coefficients [1, -3, 2, -1] and divide by 1.

Front

Determine if the sequence 5, 10, 20, 40 is geometric, arithmetic, or neither.

Back

It is geometric.

Front

What does \(d_1\) refer to in a sequence?

Back

The first term of the sequence.

Front

What is the result of dividing the polynomial \(4x^3+8x^2-5x \div x+1\)?

Back

\(4x^2 + 4x - 9 + \frac{4}{x+1}\)

Front

Define an arithmetic sequence.

Back

A sequence of numbers in which the difference between consecutive terms is constant.

Front

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

Back

\(a_n = a_1 + (n-1)d\) where \(d\) is the common difference.

Front

What is a geometric sequence?

Back

A sequence where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

What is the formula for the nth term of a geometric sequence?

Back

\(a_n = a_1 r^{(n-1)}\) where \(r\) is the common ratio.

Front

What is the common ratio in a geometric sequence?

Back

The fixed number that each term is multiplied by to get the next term.