1 4 3 6 5 8 sequence A 3 1 1 2 a 4 2 1 3 a 5 3 2 5 a 6 5 3 8 a 7 8 5 13 begin split a 3 1 1 2 a 4 2 1 3 a 5 3 2 5 a 6 5 3 8 a 7 8 5 13 end split a 3 a 4 a 5 a 6 a 7 1 1 2 2 1 3 3 2 5 5 3 8 8 5 13
Identify the Sequence 4 12 36 108 Identify the Sequence 3 15 75 375 Find the Next Term 4 8 16 32 64 Find the Next Term 3 6 12 24 48 96 Free sequence calculator step by step solutions to help identify the sequence and find the nth term of arithmetic and geometric sequence types The 3 is found by adding the two numbers before it 1 2 the 5 is 2 3 and so on Example the next number in the sequence above is 21 34 55 It is that simple Here is a longer list 0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765 10946 17711 28657 46368 75025 121393 196418 317811 514229
1 4 3 6 5 8 sequence
1 4 3 6 5 8 sequence
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Arithmetic Sequence Patterns
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Solved 6 5 4 3 6 5 4 3 2 3 4 5 6 The Plot Above Is Chegg
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Solution 1 Add 1 then add 2 3 4 So 1 1 2 2 2 4 4 3 7 7 4 11 etc Rule x n n n 1 2 1 Sequence 1 2 4 7 11 16 22 That rule looks a bit complicated but it works Solution 2 After 1 and 2 add the two previous numbers plus 1 Rule x n x n 1 x n 2 1 Sequence 1 2 4 7 12 20 33 Solution 3 After Definition a n a 1 f n 1 example 1 3 5 7 9 11 13 Geometric Sequence Calculator definition a n a r n 1 example 1 2 4 8 16 32 64 128 Fibonacci Sequence Calculator definition a 0 0 a 1 1 a n a n 1 a n 2 example 0 1 1 2 3 5 8 13 21 34 55
1 2 3 4 is a very simple sequence and it is an infinite sequence 20 25 30 35 is also an infinite sequence 1 3 5 7 is the sequence of the first 4 odd numbers and is a finite sequence 4 3 2 1 is 4 to 1 backwards 1 2 4 8 16 32 is an infinite sequence where every term doubles First term 1 1 1 Second term 2 2 4 Third term 3 4 12 Fourth term 4 8 32 Fifth term 5 16 80 Such a sequence is defined by four parameters the initial value of the arithmetic progression a the common difference d the initial value of the geometric progression b and the common ratio r
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Here are a few lists of numbers 3 5 7 21 16 11 6 1 2 4 8 Ordered lists of numbers like these are called sequences Each number in a sequence is called a term Sequences usually have patterns that allow us to predict what the next term might be For example in the sequence 3 5 7 you always add two to get the next term A common way to write a geometric progression is to explicitly write down the first terms This allows you to calculate any other number in the sequence for our example we would write the series as 1 2 4 8 1 2 4 8 However there are more mathematical ways to provide the same information
A Fibonacci sequence is a sequence of numbers in which each term is the sum of the previous two terms It is represented by the formula a n a n 1 a n 2 where a 1 1 and a 2 1 This formula states that each term of How explicit formulas work Here is an explicit formula of the sequence 3 5 7 a n 3 2 n 1 In the formula n is any term number and a n is the n th term This formula allows us to simply plug in the number of the term we are interested in and we will get the value of that term
9 2 3 8 4 7 6 5
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Solved Question 4 3 6 5 2 14 14 1 2 6 And 8 000 Nau Chegg
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1 4 3 6 5 8 sequence - Solution 1 Add 1 then add 2 3 4 So 1 1 2 2 2 4 4 3 7 7 4 11 etc Rule x n n n 1 2 1 Sequence 1 2 4 7 11 16 22 That rule looks a bit complicated but it works Solution 2 After 1 and 2 add the two previous numbers plus 1 Rule x n x n 1 x n 2 1 Sequence 1 2 4 7 12 20 33 Solution 3 After