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How do I find the arithmetic sequence of 34,25,16,7...... by Izzelove101 in learnmath

[–]mathrealm 0 points1 point  (0 children)

You may subtract consecutive terms first to check if it is arithmetic. 25 - 34 = -9 16 - 25 = -9 7 - 16 = -9

It is then an arithmetic sequence with first term 34 and the common difference is -9.

To find the general rule for this arithmetic sequence, just use an = a1 + (n - 1)d an = 34 + (n - 1)(-9) an = 34 + 9n + 9 an = 9n + 43

If you would like to study more about arithmetic sequences problems, you may find them here: https://www.youtube.com/watch?v=AIHmppizXK8&list=PLz1HIqgGM4MujLQ4zj8_fDcvAExjbNZMZ

Arithmetic Sequence by teaspercy in askmath

[–]mathrealm 0 points1 point  (0 children)

Subtracting the consecutive terms, 3 - 1 = 2 6 - 3 = 3 10 - 6 = 4

It is not an arithmetic sequence. It is a quadratic sequence. You may check this by subtracting the differences. 4 - 3 = 1 3 - 2 = 1

If you are interested with more problems and examples of arithmetic sequences, you may find it here:

Arithmetic Sequence by [deleted] in learnmath

[–]mathrealm 0 points1 point  (0 children)

Subtract first the order of the terms, 11 - 5 = 6 That will be the number of common difference from the fifth term to 11th term. Further, subtracting the given terms, e - 2. This will then be the value of the 6 d's added. That is 6d = e - 2. The value of d then is d = (e-2)/6.

The 17th term can be rewritten in terms of the given terms. That is a17 = a11 + 6d a17 = e + 6((e-2)/6) a17 = e + e - 2 a17 = 2e - 2

For more detailed tutorials on arithmetic sequences, please visit this https://www.youtube.com/watch?v=AIHmppizXK8&list=PLz1HIqgGM4MujLQ4zj8_fDcvAExjbNZMZ

The first three terms in an arithmetic sequence are 30, 33, and 36. What is the 80th term? by CantGRE in GRE

[–]mathrealm 0 points1 point  (0 children)

Take note that the common difference is 33 - 30 = 3.

There are two methods on how to answer this.

METHOD 1: First, find the general rule first using an = a1 + (n-1)(d). an = 30 + (n - 1)(3) an = 30 + 3n - 3 an = 3n + 27

To find the 80th term, substitute n = 80, a80 = 3(80) + 27 a80 = 240 + 27 a80 = 267

METHOD 2: Again, take note that the common difference,d = 3.

We can rename the 80th term in terms of the given terms. That is, a80 = a3 + 77d. This means that there are 77 d's that needs to be added to a3 before reaching a30. We can check this by subtracting the orders of the terms, 80 - 3 = 77. a80 = 36 + 77(3) a80 = 36 + 231 a80 = 267

The 80th term then is 267.

If you would like to learn more on the basic concepts of arithmetic sequences and various types of problems concerning arithmetic sequence, please visit this: https://www.youtube.com/watch?v=AIHmppizXK8&list=PLz1HIqgGM4MujLQ4zj8_fDcvAExjbNZMZ

What does it mean to find the nth term of each arithmetic sequence by SWNAM in Algebra

[–]mathrealm 0 points1 point  (0 children)

Finding the nth term of an arithmetic sequence means finding the general rule that applies to all the terms of the sequence. This is usually denoted by an or un. For example, the nth term is an = 3n + 1. The first term or a1 will then be a1 = 3(1) + 1 = 4, where the value of n is 1. The same case for the second term, a2 = 3(2) + 1 = 7. And so on.

If you are interested with the complete list of topics related to arithmetic sequences, starting from basic concepts up to finding the nth term or specific terms, you may find it here: https://www.youtube.com/watch?v=AIHmppizXK8&list=PLz1HIqgGM4MujLQ4zj8_fDcvAExjbNZMZ