8) In a geometric sequence, what remains constant?a) The product of consecutive termsb) The ratio between consecutive termsc) The difference between consecutive termsd) The sum of consecutive terms
Question
- In a geometric sequence, what remains constant?a) The product of consecutive termsb) The ratio between consecutive termsc) The difference between consecutive termsd) The sum of consecutive terms
Solution
In a geometric sequence, what remains constant is b) The ratio between consecutive terms.
Here's why:
A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the ratio.
For example, in the sequence 2, 4, 8, 16, 32, the ratio is 2 because each term is twice the previous term. This ratio remains constant throughout the geometric sequence.
So, the answer is b) The ratio between consecutive terms.
Similar Questions
In a geometric sequence, the ratio between consecutive terms is _____ .Answer hereSUBMITarrow_backPREVIOUS
Which of the following statements are true for an geometric pattern? None of the options given are true.The pattern has a constant difference between consecutive terms.The pattern has a constant ratio between consecutive terms.The pattern has a constant second level difference between consecutive terms.
A sequence that involves a common difference in identifying the succeeding terms.Question 17Select one:a.Geometric Progressionb.Arithmetic Progression
The first four terms of a sequence are given. Determine whether these terms can be the terms of an arithmetic sequence, a geometric sequence, or neither. If the sequence is arithmetic or geometric, find the next term.(a) 9, −9, 9, −9, arithmeticgeometric neither arithmetic or geometricIf the sequence is arithmetic or geometric, find the next term. (If the sequence is neither, enter DNE.) (b) 5, 35, 65, 1, arithmeticgeometric neither arithmetic or geometricIf the sequence is arithmetic or geometric, find the next term. (If the sequence is neither, enter DNE.) (c) 2, −1, 12, 2, arithmeticgeometric neither arithmetic or geometricIf the sequence is arithmetic or geometric, find the next term. (If the sequence is neither, enter DNE.) (d) x − 1, x, x + 1, x + 2, arithmeticgeometric neither arithmetic or geometricIf the sequence is arithmetic or geometric, find the next term. (If the sequence is neither, enter DNE.)
Let be a geometric sequence.If and , what is ?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.