Q: A sequence in which the terms change by the same amount each time?

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That is called an arithmetic sequence. For example: 8, 15, 22, 29, 36, 43, 50, 57, etc.

A convergent sequence is an infinite sequence whose terms move ever closer to a finite limit. For any specified allowable margin of error (the absolute difference between each term and the finite limit) a term can be found, after which all succeeding terms in the sequence remain within that margin of error.

i dont get it

A comparison in math terms is when you see if two problems are equal to each other.

It works out as -5 for each consecutive term

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Arithmetic Sequence

That is called an arithmetic sequence. For example: 8, 15, 22, 29, 36, 43, 50, 57, etc.

That's an arithmetic sequence.

Each number in the sequence is 8 times the previous term, hence the next three terms are: 204.8, 1638.4 and 13107.2

Yes, that's what a geometric sequence is about.

You mean what IS a geometric sequence? It's when the ratio of the terms is constant, meaning: 1, 2, 4, 8, 16... The ratio of one term to the term directly following it is always 1:2, or .5. So like, instead of an arithmetic sequence, where you're adding a specific amount each time, in a geometric sequence, you're multiplying by that term.

A convergent sequence is an infinite sequence whose terms move ever closer to a finite limit. For any specified allowable margin of error (the absolute difference between each term and the finite limit) a term can be found, after which all succeeding terms in the sequence remain within that margin of error.

Be more specific what is a "term" and an "expression" I am gonna assume by term you mean terms of a sequence, of course you can. Take a sequence of functions, each function is a graph, some of them can be written as expressions. My argument is definitely Calculus.

13 This is because each term of the sequence is determined by adding the 2 previous terms of the sequence. This particular sequence is called the Fibonacci Sequence, and has special properties. See related link.

-- Start with 0, 1 . -- Each term is then the sum of the two terms before it.

Each number is got by adding an amount two larger than the last amount added. 9 (+3) 12 (+5) 17 (+7) 24.Continuing this we get 33, 44 and 57.

5016. Here's how: Each term is 1 less than the terms in 9, 18, 27 ..., which is the sequence 9*N, with N = 1..33. So the actual formula for the sequence is {9*N - 1} The sequence 1,2,3...N can be summed by (N+1)*N/2 --> N=33: (33+1)*33/2 = 561, so the sum of the first 33 terms of 9+18+27+297 = 9*(1+2+3+..+33) = 9*561 = 5049. But our sequence terms are each one less than the terms in 9,18,27, so subtract 33 from 5049 = 5016.