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 rule for the sequence 2 6 18 54
A geometric sequence (also known as a geometric progression) is a sequence of numbers in which the ratio of consecutive terms is always the same. For example, in the geometric sequence 2, 6, 18, 54, 162, …, the ratio is always 3.
What is the answer to 2 6 18 54
162
So the answer is c = 162.
What is the recursive rule for the sequence 1 2 4 8 16
The sequence can be recursively defined as: a(n) = 2^(n-1), for n =1, and a(n) = 2*(a(n-1)) for n > 1.
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 nth term for 2 6 18 54
The nth term of the sequence 2, 6, 18, 54, …. is 4374.
What is the nth term rule of 2 6 18 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 3 gives the next term. In other words, an=a1rn−1 a n = a 1 r n – 1 .
What kind of sequence is 2 6 18 54 162
geometric sequence
{2,6,18,54,162,486,1458,…} is a geometric sequence where each term is 3 times the previous term.
What is the 7th term of the sequence 2 6 18 54
Answer: 2, 6, 18, 54, 162, 486, 1458, 4374. It is so simple. It is a Geometric Progression(G.P).
What is the recursive rule for 4 − 16 64 − 256
Recursive rule for the geometric sequence. 4, -16, 64, -256, …is an = an-1 x (-4) , hence sequence can be written as 4, (4)(-4), (4)(-4)², (4)(-4)³…….
What is a recursive rule for the geometric sequence 6 18 54 162
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 3 gives the next term. In other words, an=a1rn−1 a n = a 1 r n – 1 .
How do you find the recursive rule of a sequence
Well. If you said that we're adding four each time you're absolutely right and so what you do when you write a recursive formula is you do something like this you tell the person. You.
What is the nth term 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.
What is the term to term rule for the sequence 2 6 18 54 and 162
{2,6,18,54,162,486,1458,…} is a geometric sequence where each term is 3 times the previous term.
What is the 9th term in the sequence 2 6 18 54
a9 = 13122. Therefore the 9th term in the sequence is 13122. Hope this helps!
What is the 15th term of the sequence 2 4 6 8
Solution: The arithmetic sequence is: 0, 2, 4, 6, 8, 10, 12, 14….. Therefore 15th term in the sequence will be 28.
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 recursive definition for the sequence 11 8 5 2
The recursive definition for the sequence 11, 8, 5, 2 is an=an−1−3 a n = a n − 1 − 3 .
What is the recursive formula for the sequence 15 12 9 6
Thus, the expression for the nth term of the sequence, 15, 12, 9, 6, … is an = 18 – 3n. We can use Cuemath's Online Arithmetic sequence calculator to find the arithmetic sequence using the first term and the common difference between the terms.
What is the nth term of 2 6 18 54
The nth term of the sequence 2, 6, 18, 54, …. is 4374.
What is the 5th term in the sequence 2 6 18 54
Therefore 162 is the 5th term.
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 nth term rule for this sequence 2 4 6 8
In the sequence 2, 4, 6, 8, 10… there is an obvious pattern. Such sequences can be expressed in terms of the nth term of the sequence. In this case, the nth term = 2n.
What is the common ratio in the given − 2 − 6 − 18 − 54
-3
The common ratio of the sequence -2, 6, -18, 54 ….. is -3.
What is the 8th term of sequence 2 6 18 54 162
∴ 8th term =ar18−1=ar7=2×37=(2×2187)=4374.
