What is defined as a sequence where each term is found by adding or subtracting a constant value?

Prepare for the T Level Engineering Test with in-depth study and explore multiple choice questions designed to enhance your understanding and get you ready for the exam!

An arithmetic progression is defined as a sequence of numbers in which each term is generated by adding or subtracting a fixed, constant value, known as the common difference, to the previous term. For example, in the sequence 2, 5, 8, 11, each term is obtained by adding 3 to the term before it. This property of having a consistent difference between consecutive terms is what characterizes an arithmetic progression.

In contrast, a geometric progression involves each term being found by multiplying or dividing by a constant value, which does not apply in this scenario. Similarly, an exponential sequence involves terms that are determined by raising a constant base to a variable exponent, and a harmonic sequence is based on the reciprocals of an arithmetic progression. These distinctions clarify why the definition provided aligns specifically with arithmetic progression.

Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy