2
6
What is the next number in this sequence 0,2,4,6,8......? Ans: The first number is 0. The second number is 2. The difference between those numbers is 2-0 = 2. The difference between the second and the third , the third and the fourth, the fourth and the fifty, the fifth and sixth is 2 only. So, the common difference is 2. That is 0+2=2, 2+2=4,4+2=6,6+2=8, then the next number in the series is 8+2 =10. The series continue like that only until infinity.
It is negative 2.
2 common difference1 3 5 7 91 + 2 = 33 + 2 = 55 + 2 = 77 + 2 = 9
Ok, take the formula dn+(a-d) this is just when having a sequence with a common difference dn+(a-d) when d=common difference, a=the 1st term, n=the nth term - you have the sequence 2, 4, 6, 8... and you want to find the nth term therefore: dn+(a-d) 2n+(2-2) 2n Let's assume you want to find the 5th term (in this case, the following number in the sequence) 2(5) = 10 (so the fifth term is 10)
6
What is the next number in this sequence 0,2,4,6,8......? Ans: The first number is 0. The second number is 2. The difference between those numbers is 2-0 = 2. The difference between the second and the third , the third and the fourth, the fourth and the fifty, the fifth and sixth is 2 only. So, the common difference is 2. That is 0+2=2, 2+2=4,4+2=6,6+2=8, then the next number in the series is 8+2 =10. The series continue like that only until infinity.
An arithmetic sequence with common difference of 2.
It is negative 2.
no, d = none
2 common difference1 3 5 7 91 + 2 = 33 + 2 = 55 + 2 = 77 + 2 = 9
10-2x for x = 0, 1, 2, 3, ... Since the domain of an arithmetic sequence is the set of natural numbers, then the formula for the nth term of the given sequence with the first term 10 and the common difference -2 is an = a1 + (n -1)(-2) = 10 - 2n + 2 = 12 - 2n.
A sequence of numbers in which the difference between any two consecutive terms is the same is called an arithmetic sequence or arithmetic progression. For example, in the sequence 2, 5, 8, 11, the common difference is 3. This consistent difference allows for predictable patterns and calculations within the sequence.
Ok, take the formula dn+(a-d) this is just when having a sequence with a common difference dn+(a-d) when d=common difference, a=the 1st term, n=the nth term - you have the sequence 2, 4, 6, 8... and you want to find the nth term therefore: dn+(a-d) 2n+(2-2) 2n Let's assume you want to find the 5th term (in this case, the following number in the sequence) 2(5) = 10 (so the fifth term is 10)
The common difference is 6; each number after the first equals the previous number minus 6.
Oh, what a beautiful sequence of numbers you've created! To find the pattern, we can see that each number is increasing by adding consecutive odd numbers. The nth term for this sequence can be found using the formula n^2 + n. Just like painting, sometimes all we need is a little patience and observation to uncover the hidden beauty within patterns.
The general term for the sequence 0, 1, 1, 2, 2, 3, 3 is infinite sequence.