Terms are matched to their definitions, with a focus on arithmetic and geometric sequences, common ratio, and related sequence terminology.
Matching the terms with their correct definitions:
Sequence where we keep dividing or multiplying to get to the next term is known as a geometric sequence.
A specific term in the sequence is simply an element or a number in the sequence.
The common ratio is the factor by which we multiply to get from one term to the next in a geometric sequence.
Term in the sequence is repeated as it is essentially the same as number two and refers to an element or a number in the sequence.
A sequence where we keep adding or subtracting a constant number to get to the next term is called an arithmetic sequence.
A geometric sequence is defined by the formula M = b^n, where M is the term in the sequence, b is the base or first term, and n represents the term's position in the sequence. In contrast, an arithmetic sequence is characterized by a constant difference between successive terms, referred to as the common difference.