Table of Contents
- 1 Are three consecutive terms of a geometric sequence?
- 2 What is the common ratio of the geometric sequence below 625?
- 3 How do you find the consecutive terms of a geometric sequence?
- 4 What is the common ratio for this geometric sequence 3/12 48?
- 5 What is the common ratio of the sequence below 125 25 5 1?
Are three consecutive terms of a geometric sequence?
The three consecutive terms in the geometric sequence are the continuous terms which are obtained after the application of a common ratio to each term. Every term yields other term in the series and this pattern can go till infinite.
How do you find the common ratio of a geometric progression given two terms?
How To: Given a set of numbers, determine if they represent a geometric sequence.
- Divide each term by the previous term.
- Compare the quotients. If they are the same, a common ratio exists and the sequence is geometric.
What is the common ratio of the geometric sequence below 625?
1/5
The common ratio of the geometric sequence 625, 125, 25, 5, 1, …is 1/5.
What is geometric ratio?
1The relation between two magnitudes as determined by the number of times that one contains the other. Contrasted with arithmetical ratio. Now usually called simply ratio. 2A manner or mode of change in which successive quantities form a geometric progression; a geometric progression.
How do you find the consecutive terms of a geometric sequence?
The constant ratio between two consecutive terms is called the common ratio. The common ratio can be found by dividing any term in the sequence by the previous term. The terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly.
What are consecutive terms?
: following one after the other in order : successive served four consecutive terms in office. Other Words from consecutive Synonyms & Antonyms Concurrent and Consecutive More Example Sentences Learn More About consecutive.
What is the common ratio for this geometric sequence 3/12 48?
4
The given sequence is geometric, with the common ratio being 4 and the first term being 3.
What is the common ratio for?
A geometric sequence is a sequence in which the ratio between any two consecutive terms is a constant. The constant ratio between two consecutive terms is called the common ratio. The common ratio can be found by dividing any term in the sequence by the previous term.
What is the common ratio of the sequence below 125 25 5 1?
Answer: The common ratio of the sequence –125, –25, –5, –1, . . . is 1/5.