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 rule for the sequence 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.
What is the formula for sequence rule
The explicit formula for the nth term of an arithmetic sequence is an = a1 + d(n – 1), where an is the nth term of the sequence, a1 is the first term of the sequence, and d is the common difference of the sequence.
What is the nth term rule in the 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 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 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 rule for the sequence 2 8 26 80
Answer and Explanation:
On observing the series, it can be clearly seen that each subsequent term is obtained by multiplying the previous term with 3 and then adding 2 to the result, that is: 2 × 3 + 2 = 8 8 × 3 + 2 = 26 26 × 3 + 2 = 80 and so on.
What is a rule of the sequence 2 4 6 8 10
2,4,6,8,10….is an arithmetic sequence with the common difference 2. If the first term of an arithmetic sequence is a1 and the common difference is d, then the nth term of the sequence is given by: an=a1+(n−1)d. An arithmetic series is the sum of an arithmetic sequence.
What is the pattern rule for 1 2 4 7 11
Solution 1: Add 1, then add 2, 3, 4, So, 1+1=2, 2+2=4, 4+3=7, 7+4=11, etc… Sequence: 1, 2, 4, 7, 11, 16, 22, …
What is the rule of 2 13 26 41
So, the rule for this sequence is to add an increasing odd number to the previous term. 1st term: 2 2nd term: 2 + 11 = 13 3rd term: 13 + 13 = 26 4th term: 26 + 15 = 41 Following this rule, the next terms would be: 5th term: 41 + 17 = 58 6th term: 58 + 19 = 77 7th term: 77 + 21 = 98 and so on.
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 18th term in the sequence 2 6 18 54
The next number in the series -2, 6, 18, 54, … is 162. To find the answer, we need to determine the pattern. While there is a geometric pattern to 6, 18, and 54, the -2 rather than 2 appears to break this pattern.
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 rule for the sequence 2 6 18
{2,6,18,54,162,486,1458,…} is a geometric sequence where each term is 3 times the previous term.
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 rule for the sequence 16 25 36 49 64
Informally: When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.” So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.
What is the rule of 6 8 10 12 14 16 18 20
This is an arithmetic sequence since there is a common difference between each term. In this case, adding 2 to the previous term in the sequence gives the next term.
What is the rule for 1 2 4 8 16
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 complete number pattern 1 1 2 3 5 8
Fibonacci Numbers (Sequence):
1,1,2,3,5,8,13,21,34,55,89,144,233,377,… Fn=Fn−2+Fn−1 where n≥2 .
What is the rule of 7 14 28 56 112 224
Answer and Explanation:
7 , 14 , 28 , 56 , 112. . . That is, each new term is equal to the previous term multiplied by 2.
What is the pattern rule for 1 4 16 64 256
Here in this sequence you have to use multiplication. By multiplication rule you will get the answer. Multiply each of the number by number 4. The sequence for 1,4,16,64 is 1*4 =4 , 4*4=16, 16*4= 64, 64*4 = 256.
What is the 8th term of the sequence 2 6 18 54
4374
∴ 8th term =ar18−1=ar7=2×37=(2×2187)=4374.
What is the rule in the sequence 20 16 12 8 4
This is an arithmetic sequence since there is a common difference between each term. In this case, adding −4 to the previous term in the sequence gives the next term. In other words, an=a1+d(n−1) a n = a 1 + d ( n – 1 ) . This is the formula of an arithmetic sequence.
What is 16 20 25 30 36 42 49
16, 20, 25, 30, 36, 42, 49, The missing term in the series is 56. Hence, the correct option is 3. UGC NET Result to be announced on 26th/27th July 2023.
What is the rule followed in the pattern of 2 5 8 11 14 17 20
This is an arithmetic sequence since there is a common difference between each term. In this case, adding 3 to the previous term in the sequence gives the next term. In other words, an=a1+d(n−1) a n = a 1 + d ( n – 1 ) .
