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A geometric sequence with 5 terms can alternate by having positive and negative terms. For example, one such sequence could be (2, -6, 18, -54, 162). Here, the first term is (2) and the common ratio is (-3), leading to alternating signs while maintaining the geometric property.
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Is the Fibonacci sequence a geometric sequence?
No. Although the ratios of the terms in the Fibonacci sequence do approach a constant, phi, in order for the Fibonacci sequence to be a geometric sequence the ratio of ALL of the terms has to be a constant, not just approaching one. A simple counterexample to show that this is not true is to notice that 1/1 is not equal to 2/1, nor is 3/2, 5/3, 8/5...
What is the common ratio between the terms in this geometric sequence 5 20 80 320 1280?
1 to 4
What does geometric sequence?
You mean what IS a geometric sequence? It's when the ratio of the terms is constant, meaning: 1, 2, 4, 8, 16... The ratio of one term to the term directly following it is always 1:2, or .5. So like, instead of an arithmetic sequence, where you're adding a specific amount each time, in a geometric sequence, you're multiplying by that term.
Are the numbers 24711 arithmetic or geometric and what are the next two terms in the sequence?
The numbers 2, 4, 7, 11 are neither strictly arithmetic nor geometric. In an arithmetic sequence, the difference between consecutive terms is constant, while in a geometric sequence, the ratio between consecutive terms is constant. Here, the differences between terms are 2, 3, and 4, suggesting a pattern of increasing increments. Following this pattern, the next two terms would be 16 (11 + 5) and 22 (16 + 6).
What is the sum of the first six terms of the geometric sequence 1 4 16?
The given geometric sequence is 1, 4, 16, where the first term ( a = 1 ) and the common ratio ( r = 4 ). To find the sum of the first six terms, we calculate the sixth term: ( a_6 = a \cdot r^{5} = 1 \cdot 4^5 = 1024 ). The sum of the first ( n ) terms of a geometric sequence is given by the formula ( S_n = a \frac{r^n - 1}{r - 1} ). Thus, the sum of the first six terms is ( S_6 = 1 \cdot \frac{4^6 - 1}{4 - 1} = \frac{4096 - 1}{3} = \frac{4095}{3} = 1365 ).
What is the first 5 terms of the geometric sequence a14r3?
They are 14, 42, 126, 378 and 1134.
Is the Fibonacci sequence a geometric sequence?
No. Although the ratios of the terms in the Fibonacci sequence do approach a constant, phi, in order for the Fibonacci sequence to be a geometric sequence the ratio of ALL of the terms has to be a constant, not just approaching one. A simple counterexample to show that this is not true is to notice that 1/1 is not equal to 2/1, nor is 3/2, 5/3, 8/5...
What is the common ratio between the terms in this geometric sequence 5 20 80 320 1280?
1 to 4
Is the sequence 2 3 5 8 12 arithmetic or geometric?
The sequence 2, 3, 5, 8, 12 is neither arithmetic nor geometric. In an arithmetic sequence, the difference between consecutive terms is constant, while in a geometric sequence, the ratio between consecutive terms is constant. In this sequence, there is no constant difference or ratio between consecutive terms, so it does not fit the criteria for either type of sequence.
What does geometric sequence?
You mean what IS a geometric sequence? It's when the ratio of the terms is constant, meaning: 1, 2, 4, 8, 16... The ratio of one term to the term directly following it is always 1:2, or .5. So like, instead of an arithmetic sequence, where you're adding a specific amount each time, in a geometric sequence, you're multiplying by that term.
Is 155-5-15-25-35 geometric sequence?
No, it is not.
What is infinite geometric sequence?
An example of an infinite geometric sequence is 3, 5, 7, 9, ..., the three dots represent that the number goes on forever.
What is the common ratio of the geometric sequence 625 125 25 5 1?
It is 0.2
What is the 7th term in the geometric sequence whose first term is 5 and the common ratio is -2?
Find the 7th term of the geometric sequence whose common ratio is 1/2 and whose first turn is 5
What is mathematical sequence?
Sequences are a group of numbers that follow a certain pattern. There are two kinds of sequences, the arithematic sequence and geometric sequence. Arithematic sequence follows through addition (and subtraction). Geometric sequence follows throug multiplication (and division). Arithematic Sequence Example : 1, 6, 11, 16, 21 The pattern follows an addition of 5. Geometric Sequence Example : 1, 3, 9, 27, 81 The pattern follows a multiplication of 3
How do you find the geometric sequence?
a = -4 r = -3
What is the value of the fourth term in a geometric sequence for which a1 10 and r .5?
1.25 Apex
