0
Add your answer:
Earn +20 pts
What are arithmetic series?
An arithmetic series is a fairly similar to an arithmetic sequence except for the fact that in a series you are adding the numbers in between, not putting commas. Example: Sequence 1,3,5,7,.........n Series 1+3+5+7+..........+n Hope this helped(:
Is 1 1 1 1 1 an arithmetic sequence?
Yes, with a difference of zero between terms. It is also a geometric series, with a ratio of 1 in each case.
About arithmetic sequence and series?
The question needs to be a bit more specific than that!
What are the next three numbers in the following sequence 1 5 16 37 71 121?
This sequence is an arithmetic series that makes use of another series. This sequence advances by adding the series 4, 11, 21, 34, and 50 to the initial terms. This secondary series has a difference of 7, 10, 13 and 16 which advance by terms of 3. So the next three numbers in the primary sequence are 190, 281 and 397.
What describes the sequence 1 1 2 3 5 is it arithmetic or geometric?
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.
What are arithmetic series?
An arithmetic series is a fairly similar to an arithmetic sequence except for the fact that in a series you are adding the numbers in between, not putting commas. Example: Sequence 1,3,5,7,.........n Series 1+3+5+7+..........+n Hope this helped(:
What is the common difference?
The difference between each number in an arithmetic series
Is 1 1 1 1 1 an arithmetic sequence?
Yes, with a difference of zero between terms. It is also a geometric series, with a ratio of 1 in each case.
What is the difference between an arithmetic series and a geometric series?
An arithmetic series is the sequence of partial sums of an arithmetic sequence. That is, if A = {a, a+d, a+2d, ..., a+(n-1)d, ... } then the terms of the arithmetic series, S(n), are the sums of the first n terms and S(n) = n/2*[2a + (n-1)d]. Arithmetic series can never converge.A geometric series is the sequence of partial sums of a geometric sequence. That is, if G = {a, ar, ar^2, ..., ar^(n-1), ... } then the terms of the geometric series, T(n), are the sums of the first n terms and T(n) = a*(1 - r^n)/(1 - r). If |r| < 1 then T(n) tends to 1/(1 - r) as n tends to infinity.
Can difference between AP series and GP series?
Succession of numbers of which one number is designated as the first, other as the second, another as the third and so on gives rise to what is called a sequence. Sequences have wide applications. In this lesson we shall discuss particular types of sequences called arithmetic sequence, geometric sequence and also find arithmetic mean (A.M), geometric mean (G.M) between two given numbers. We will also establish the relation between A.M and G.M
About arithmetic sequence and series?
The question needs to be a bit more specific than that!
What are the next three numbers in the following sequence 1 5 16 37 71 121?
This sequence is an arithmetic series that makes use of another series. This sequence advances by adding the series 4, 11, 21, 34, and 50 to the initial terms. This secondary series has a difference of 7, 10, 13 and 16 which advance by terms of 3. So the next three numbers in the primary sequence are 190, 281 and 397.
What describes the sequence 1 1 2 3 5 is it arithmetic or geometric?
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.
Difference between AP series GPs reis?
In an arithmetic progression (AP), each term is obtained by adding a constant value to the previous term. In a geometric progression (GP), each term is obtained by multiplying the previous term by a constant value. An AP will have a common difference between consecutive terms, while a GP will have a common ratio between consecutive terms.
Is the series 11 16point5 22 27point5 33 arithmetic geometric or neither?
Arithmetic, common difference 5.5
What is an arithmetic series?
An arithmetic series is the sum of the terms in an arithmetic progression.
What is the formula of finding the sum of a series of even numbers?
You didn't say the series (I prefer to use the word sequence) of even numbers are consecutive even numbers, or even more generally an arithmetic sequence. If we are not given any information about the sequence other than that each member happens to be even, there is no formula for that other than the fact that you can factor out the 2 from each member and add up the halves, then multiply by 2: 2a + 2b + 2c = 2(a + b + c). If the even numbers are an arithmetic sequence, you can use the formula for the sum of an arithmetic sequence. Similarly if they are a geometric sequence.
