What is the common ratio of 2 6 18 54
3
For example, in the geometric sequence 2, 6, 18, 54, 162, …, the ratio is always 3. This is called the common ratio.
What is the answer to 2 6 18 54
162
So the answer is c = 162.
Is 2 6 18 54 an example of an arithmetic sequence
This is a geometric sequence since there is a common ratio between each term.
Which is the following is an arithmetic sequence
An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant. 2,4,6,8,10….is an arithmetic sequence with the common difference 2.
What is the common ratio of 2 4 8 16 32 64
2
An example of a Geometric sequence is 2, 4, 8, 16, 32, 64, …, where the common ratio is 2.
What is the common ratio of 2 4 6 8 16
Given the geometric sequence 2,4,8,16,… . To find the common ratio , find the ratio between a term and the term preceding it. 2 is the common ratio.
What is the recursive rule for 2 6 18 54
Answer and Explanation:
The second term of the sequence, 6, is three times the first term of the sequence, 2. The third term of the sequence, 18, is three times the second term of the sequence, 6. The fourth term of the sequence, 54, is three times the third term of the sequence, 18.
What is the formula for the nth term with a sequence 2 6 18 54
an=2(3)n−1.
What is the geometric series of 2 6 18 54
Solution(By Examveda Team)
Clearly, 2 x 3 = 6, 6 x 3 = 18, 18 x 3 = 54,….. So, the series is a G.P. in which a = 2, r = 3. Therefore 8th term = ar8-1 = ar7 = 2 x 37 = (2 x 2187) = 4374.
How to find common ratio
Or you can take the third term. And divide it by the second. Term. Okay or you can take the fourth. Term. And divide it by a third term so you see the pattern. Here.
What is pattern rule 2 4 6 8
Thus, the sequence of even numbers 2, 4, 6, 8, 10, … is an arithmetic sequence in which the common difference is d = 2. It is easy to see that the formula for the nth term of an arithmetic sequence is an = a +(n −1)d.
What is the common ratio of 16 24 36 54
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 23 gives the next term.
What is the common ratio of 1 2 4 8 16 32 64
2
Example: 1, 2, 4, 8, 16, 32, 64, 128, 256, … This sequence has a factor of 2 between each number. Each term (except the first term) is found by multiplying the previous term by 2.
What is the recursive definition for this sequence 2 6 18 54 162
1 Expert Answer
As you can see, 2 is the first term in the sequence. Multiplying the current term by the common ratio, which is 3, presents the next term. Then that term is multiplied by the common ratio to present the term after it. This shows that the ratio between the new term to preceding term is 3.
What is the recursive formula for the sequence 2 6 10 14
The general (nth) term for 2, 6, 10, 14, 18, 22, … is 4 and the first term is 2. If we let d=4 this becomes an=a1+(n−1)d. The nth or general term of an arithmetic sequence is given by an=a1+(n−1)d. So in our example a1=2 and d=4 so an=2+(n−1)4=2+4n−4=4n−2.
What is the common ratio of the sequence 2 6 18 54 − 3 − 2 3 8
Summary: The common ratio of the sequence -2, 6, -18, 54 ….. is -3.
What is the common ratio of 2 4 8 16
The common ratio of the geometric sequence -2, 4, -8, 16, -32, . . . is -2.
What is the common ratio of the GP 25 5 1 1 5
Thus the common ratio is (-1/5). Thanks!!!
What is the pattern of 2 6 12 20
Find the nth term of the sequence: 2, 6, 12, 20, 30… Clearly the required sequence is double the one we have found the nth term for, therefore the nth term of the required sequence is 2n(n+1)/2 = n(n + 1). The Fibonacci sequence is an important sequence which is as follows: 1, 1, 2, 3, 5, 8, 13, 21, … .
What is the common difference of 2 4 6 8 10
2
Note that d can be positive, negative or zero. Thus, the sequence of even numbers 2, 4, 6, 8, 10, … is an arithmetic sequence in which the common difference is d = 2.
What is the common ratio of the sequence 26 18 54
For example, the sequence 2, 6, 18, 54, … is a geometric progression with common ratio 3.
What is the common ratio of 2 4 8 16 32
The common ratio of the geometric sequence -2, 4, -8, 16, -32, . . . is -2.
What is the 7th term in the geometric sequence 2 6 18 54
Expert-Verified Answer
2, 6, 18, 54, 162, 486, 1458, 4374.
What is the recursive rule for the sequence 2 6 18 54
Answer and Explanation:
The second term of the sequence, 6, is three times the first term of the sequence, 2. The third term of the sequence, 18, is three times the second term of the sequence, 6. The fourth term of the sequence, 54, is three times the third term of the sequence, 18.
What is the general rule of 2 6 10 14 18
The general (nth) term for 2, 6, 10, 14, 18, 22, … is 4 and the first term is 2. If we let d=4 this becomes an=a1+(n−1)d. The nth or general term of an arithmetic sequence is given by an=a1+(n−1)d. So in our example a1=2 and d=4 so an=2+(n−1)4=2+4n−4=4n−2.
