** What is the sequence rule for 3 9 27 81 **

The sequence 3, 9, 27, 81, . . . This is a geometric sequence since there is a common ratio between each of them. In this case, multiplying the previous term in the sequence by 3 gives the next term.

** What is the common ratio of the geometric sequence 3 9 27 81 81 **

Yes. It is a geometric sequence with initial term a0=3 and common ratio r=3 .

** What are the next four terms for the sequence 3 9 27 81 **

The given sequence is 3, 9, 27, 81, … ∴ The next four terms are 243, 729, 2187 and 6561. iii.

** What is the next term of the geometric sequence 1 3 9 27 81 **

So, the next term in the geometric sequence will be 81 × 3 = 243.

** What number is missing in the pattern below 3 9 27 81 729 **

Using this pattern, we can obtain the next number in the sequence by multiplying the last number, 81, by 3 i.e. 81*3 = 243.

** What is the rule in finding the nth term in the sequence 1 3 9 27 **

The rule of the geometric sequence 1, 3, 9, 27, 81, 243, … is 3n where n is the n-th term in the sequence.

** What is the rule for finding common ratio of geometric sequence **

So i do a2. Which is 14 over a1 which is 7. And i reduce that to 2 over 1 or 2..

** What is the formula for the common ratio **

How do you calculate the common ratio To calculate the common ratio in a geometric sequence, divide the n^th term by the (n – 1)^th term. Start with the last term and divide by the preceding term. Continue to divide several times to be sure there is a common ratio.

** What is the summation notation for the following series 3 9 27 81 243 **

The sigma notation of the expression 3-9+27-81+243 is given by 5(-1*3* 243 5(-1*3* 26-1)*+'3* 243 5(-1*+'3*

** What is the geometric mean of the sequence 3 9 27 **

9

Geometric mean of 3,9,27 is =(3. 9. 27)1/3=9.

** What is the pattern rule for 2187 729 243 81 **

The given number series is a Geometric Progression with common ratio being 3. Here the next term = (previous term)/3. Therefore, the last term is 9 and hence, next term will be 9/3 = 3.

** What is the pattern rule used in the number sequence 4 9 14 19 24 29 **

This is an arithmetic sequence since there is a common difference between each term. In this case, adding 5 to the previous term in the sequence gives the next term.

** What is the nth term of 3 9 27 81 243 **

This is a geometric sequence with a common ratio 3. That is you multiply by 3 each time to get the next term. the nth term is 3^n. 729.

** What is the rule for 1 3 5 7 9 **

The sequence that is given to us is 1, 3, 5, 7, 9, … a5 – a4 = 9 – 7 = 2. Hence, from the above simplification we can see that the common difference is 2. Therefore, the general term for the sequence 1, 3, 5, 7, 9, . . . is 2n – 1.

** What is the common ratio for this geometric sequence 27 9 3 1 **

1/3

Summary: The common ratio between successive terms in the sequence 27, 9, 3, 1,… is 1/3.

** How do you write a rule for a geometric sequence **

So now let's go and solve for r. 3 minus 1 is 2 so i have 4 equals 9 times r squared divide by 9. 4 9 equals r squared to solve for r i take the square root r equals two-thirds.

** What is the common ratio of 2 4 8 16 **

2

An example of a Geometric sequence is 2, 4, 8, 16, 32, 64, …, where the common ratio is 2.

** What kind of sequence is this 9 27 81 243 **

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.

** What is the rule of summation notation **

The summations rules are nothing but the usual rules of arithmetic rewritten in the Σ notation. 2S (n + 1) + (n + 1) + + (n + 1) = n(n + 1). n times This gives our desired formula, once we divide both sides of the above equality by 2. n(n + 1) 3S+3 +n=n³ + 3n² + 3n.

** Is 81 27 9 3 a geometric sequence **

This is a geometric sequence since there is a common ratio between each term.

** What is the common ratio of the geometric sequence 3 1 3 1 9 1 27 **

The common ratio=1/3. S=1/3, 1/9, 1/27, 1/81,…

** What type of number pattern sequence is this 9 27 81 243 729 **

This is a geometric sequence since there is a common ratio between each term.

** What is the rule for the arithmetic sequence 3 9 15 21 27 **

An arithmetic sequence is an ordered set of numbers that have a common difference between each consecutive term. For example in the arithmetic sequence 3, 9, 15, 21, 27, the common difference is 6. An arithmetic sequence can be known as an arithmetic progression.

** What is the rule for finding the nth in the sequence 1 4 9 16 25 **

Answer and Explanation:

The given sequence is: 1 , 4 , 9 , 16 , . . . . If you analyze the above sequence, you would see that it is a sequence of the squares of positive integers. Observing these terms, a n = n 2 .

** What is the nth term rule for this sequence **

Step 1: The nth term of an arithmetic sequence is given by an = a + (n – 1)d. So, to find the nth term, substitute the given values a = 2 and d = 3 into the formula.