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Q: Arithmetic sequence 2 6 3 8 6 12?

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It is the start of an arithmetic sequence.

It is -148.

No, geometric, common ratio 2

It is neither. It is a quadratic sequence. Un = (x2 - x + 4)/2 for n = 1, 2, 3, ...

One of the simplest arithmetic arithmetic sequence is the counting numbers: 1, 2, 3, ... . The person who discovered that is prehistoric and, therefore, unknown.

No it is not.U(2) - U(1) = 6 - 2 = 4U(3) - U(2) = 18 - 6 = 12Since 4 is different from 12, it is not an arithmetic sequence.

Any arithmetic operation, other than division by zero, can be performed on any set of numbers in a sequence.

In order to determine whether or not this is an arithmetic sequence, there must be at least 3 numbers.

It is arithmetic because it is going up by adding 2 to each number.

It is an arithmetic sequence. To differentiate arithmetic from geometric sequences, take any three numbers within the sequence. If the middle number is the average of the two on either side then it is an arithmetic sequence. If the middle number squared is the product of the two on either side then it is a geometric sequence. The sequence 0, 1, 1, 2, 3, 5, 8 and so on is the Fibonacci series, which is an arithmetic sequence, where the next number in the series is the sum of the previous two numbers. Thus F(n) = F(n-1) + F(n-2). Note that the Fibonacci sequence always begins with the two numbers 0 and 1, never 1 and 1.

No, it is not.

Put n = 1, 2, 3, 4 etc in the expression 5n + 2 and evaluate to get the sequence.

An arithmetic sequence is where a constant is added to the base case, and then added again until the proscribed limit is reached. An example is 1, 3, 5, 7, where the constant is 2 and the base case is 1. The constant can be negative, such as -4, base case 16, which leads to a descending sequence of 16 12 8 4 0 -4 -8...

-1 deduct 3 each time

An arithmetic sequence in one in which consecutive terms differ by a fixed amount,or equivalently, the next term can found by adding a fixed amount to the previous term. Example of an arithmetic sequence: 2 7 12 17 22 ... Here the the fixed amount is 5. I suppose any other type of sequence could be called non arithmetic, but I have not heard that expression before. Another useful kind of sequence is called geometric which is analogous to arithmetic, but multiplication is used instead of addition, i.e. to get the next term, multiply the previous term by some fixed amount. Example: 2 6 18 54 162 ... Here the muliplier is 3.

a1=2 d=3 an=a1+(n-1)d i.e. 2,5,8,11,14,17....

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.

arithmetic sequence * * * * * A recursive formula can produce arithmetic, geometric or other sequences. For example, for n = 1, 2, 3, ...: u0 = 2, un = un-1 + 5 is an arithmetic sequence. u0 = 2, un = un-1 * 5 is a geometric sequence. u0 = 0, un = un-1 + n is the sequence of triangular numbers. u0 = 0, un = un-1 + n(n+1)/2 is the sequence of perfect squares. u0 = 1, u1 = 1, un+1 = un-1 + un is the Fibonacci sequence.

Because 3 * 2 = 6, 6 * 2 = 12, and 12 * 2 = 24, the common ration of the sequence is 2. If we are given the fact that the sequence does have a common ratio, the answer can be found by simply taking 6/3 = 2.

This is an arithmetic sequence with initial term a = 3 and common difference d = 2. Using the nth term formula for arithmetic sequences an = a + (n - 1)d we get an = 3 + (n - 1)(2) = 2n - 2 + 3 = 2n + 1.

The Fibonacci sequence is a sequence of numbers where each number in the sequence is the sum of the two numbers right before it. for example: 11235812 <-------Fibonacci Sequence 1 1+1=2 1+2=3 2+3=5 3+5=8 5+8=12

The numbers are: 1-sqrt(2), 1 and 1+sqrt(2) or approximately -0.414214, 1 and 2.414214

The nth term is 3(n+1). The twenty-third term is equal to 3 x (23 + 1) = 72

5

12 - 5(n-1)