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

In a kite, one pair of opposite angles are equal, while the other properties do not hold true.

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.

In a rhombus, while all sides are equal and diagonals bisect each other at right angles, the diagonals are not equal in length.

In an arithmetic progression, the difference between any two consecutive terms is indeed constant, which defines the sequence.

Angles subtended by the same arc at the circumference of a circle are equal.

Base 8 (octal) is not more efficient than base 2 (binary); it simply represents values in a different way.

The statement a^0 = 0 is false; in fact, a^0 = 1 for any non-zero a.

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

Every number has at least two factors: 1 and the number itself, but some numbers can have more than two factors.

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

In a harmonic progression, terms cannot be zero as it would make the reciprocal undefined.

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

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.

Base-2 (binary) is not used in human languages; it is primarily used in computing.

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.

The statement that the decimal system is the only system used in mathematics is incorrect; other systems like binary and hexadecimal are also used.

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 Fibonacci sequence starts with 0 and 1, and each subsequent term is the sum of the previous two.

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 is a geometric series with a common ratio of 1/2.

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

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

The passage suggests that digital sum will evolve and integrate with emerging technologies, indicating a promising future.