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Arithmetic Sequence

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

Arithmetic Sequence

What is a sequence or pattern in which the terms differ by the same amount each time?

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

What is the type of sequence where the terms in the sequence are found by adding the same number each time?

That's an arithmetic sequence.

What are the next three terms in sequence 0.05 0.4 3.2 25.6 Each number in the sequence is 8 times the?

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

Is geometric sequence a sequence in which each successive terms of the sequence are in equal ratio?

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

What does geometric sequence?

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.

What is convergent sequence?

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.

Can terms also be expressions?

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.

What is the next number in the sequence 1 1 2 3 5 8?

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.

How are the numbers in the Fibonacci sequence generated?

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

Identify the next three terms in the arithmetic sequence 9 12 17 24?

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.

What is the sum of the first 33 terms of the following sequence 8 17 26?

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.