The sequence 2, 4, 8 does not have reciprocals that form an arithmetic progression, hence it cannot be a harmonic progression.

The sequence 2, 4, 8, 16 has a constant ratio of 2, making it a geometric progression.

The sequence 1, 1/2, 1/3 has reciprocals 1, 2, 3 which are in arithmetic progression, thus it is a harmonic progression.

An arithmetic progression has a constant difference between consecutive terms. The sequence 1, 3, 5, 7 has a common difference of 2.

The sum of probabilities of all possible outcomes must equal 1, which is a fundamental principle in probability theory.

In a parallelogram, the diagonals bisect each other, which is a defining property of parallelograms.

In a rectangle, opposite sides are equal and all angles are indeed 90 degrees.

Constraints can be hierarchical, meaning some constraints may take precedence over others in determining set membership.

The statement that 'all constraints must be numerical' is false; constraints can be based on various properties, not just numerical.

The statement a^m + a^n = a^(m+n) is incorrect; addition of exponents does not apply in this manner.

In a geometric progression, the ratio of consecutive terms is indeed constant, which defines the progression.

In a harmonic progression, the terms can be negative as long as their reciprocals form an arithmetic progression.

The union of two hybrid sets combines all unique elements from both sets, thus it remains a hybrid set.

All statements are true regarding multiples.

Base-2 can represent all integers, as it is a complete positional system.

Different numeral systems can represent the same value, such as the decimal 10 and binary 1010.

In a general partnership, partners can be held personally liable for the debts of the business.

Prime numbers are defined as numbers greater than 1 that have no divisors other than 1 and themselves.

A triangle has no diagonals, as it has only three vertices. The formula for the number of diagonals in a polygon is n(n-3)/2, where n is the number of sides.

The graph of a quadratic function is symmetric about its vertex.

30 is a multiple of 5, as it can be expressed as 5 multiplied by 6.

The sequence defined by a_n = 3n + 1 has a constant difference between consecutive terms, hence it is an arithmetic sequence.

The series consists of perfect squares: 1^2, 2^2, 3^2, 4^2, 5^2.

The union of two sets combines all unique elements from both sets.

The sum of the angles in any triangle is always 180 degrees, which is a fundamental property of triangles.

The mixed graph reveals that variable J exhibits a cyclical pattern, indicating periodic fluctuations over time.

A facilitator's primary role is to guide discussions and ensure that all team members contribute.

A team leader should facilitate discussions and encourage participation to foster a collaborative environment and ensure all voices are heard.

Diminishing returns occur when adding more of a resource results in a smaller increase in output, which is illustrated by option 1.

The principle of diminishing returns states that after a certain point, adding more of a resource will yield progressively smaller increases in output, making option 1 correct.