10-INTEGRITY

What is a Fibonacci sequence?

• A sequence where each term is the sum of two preceding ones

• A sequence where each term is the reciprocal of an arithmetic sequence

• A sequence with a common difference between consecutive terms

• A sequence that alternates between positive and negative values

Which of the following is NOT true about Fibonacci sequence?

• The first two terms are always 0 an 1

• It can be used to model growth patterns in nature

• The sequence begins with 1 and 2

• The ratio of the consecutive terms approaches the golden ratio

The nth term of a harmonic sequence is expressed as:

• n

• 1/n

• n+1

• 1/n+1

What type of sequence is the harmonic sequence derived from?

• Geometric Sequence

• Fibonacci Sequence

• Arithmetic Sequence

• Quadratic Sequence

Given the Harmonic Sequence where the first term is 1, find the 4th term.

• 1/2

• 1/3

• 1/4

• 1/5

Which of the following best describes long division in algebra?

• A method used to divide numbers without remainders

• A technique used to divide polynomials

• A process used to simplify expressions without variables

• A rule used to factor quadratic equations

What is the purpose of synthetic division?

• To divide two polynomials quickly, especially when the divisor is linear

• To find the square root of a polynomial expressions

• To simplify polynomials into factored form

• To multiply two polynomials

In synthetic division, what does the final value in the row represent?

• The quotient of the division

• The remainder of the division

• The degree of the polynomial

• The divisor

The Remainder Theorem states that when a polynomial f(x) is divided by (x-c), the remainder is:

• F'(C)

• C^2

• f(c)

• Zero

The Rational Root Theorem helps to find:

• All real roots of a polynomial

• All rational roots by using the ratio of the constant term and leading coefficient

• Imaginary roots of po;ynomials

• All factors of a polynomial