2 4 8 16 sequence list Free sequence calculator step by step solutions to help identify the sequence and find the nth term of arithmetic and geometric sequence types
In a Geometric Sequence each term is found by multiplying the previous term by a constant Example 1 2 4 8 16 32 64 128 256 This sequence has a factor of 2 between each number Each term except the first term is found by multiplying the previous term by 2 A 0 0 a 1 1 a 2 4 a 3 9 a 4 16 a 5 25 a 6 36 a 7 49 a 8 64 a 9 81 begin split a 0 0 a 1 1 a 2 4 a 3 9 a 4 16 a 5 25 a 6 36 a 7 49 a 8 64 a 9 81 end split a 0 a 1 a 2 a 3 a 4 a 5 a 6 a 7 a 8 a 9 0 1 4 9 16 25 36 49 64 81
2 4 8 16 sequence list
2 4 8 16 sequence list
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SOLVED Identify Each Sequence As Arithmetic Geometric Or Neither 2 4
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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 In mathematics a sequence is an ordered list of objects Accordingly a number sequence is an ordered list of numbers that follow a particular pattern Examples 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
This arithmetic sequence calculator also called the arithmetic series calculator is a handy tool for analyzing a sequence of numbers that is created by adding a constant value each time You can use it to find any property of the sequence the first term common difference n term or the sum of the first n terms Example 1 2 4 8 16 32 64 128 256 This sequence starts at 1 and has a common ratio of 2 The pattern is continued by multiplying by 2 each time like this The common ratio can be less than 1 Example 10 5 2 5 1 25 0 625 0 3125 This sequence starts at 10 and has a common ratio of 0 5 a half
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Notice that the ratio between each successive pair of terms is constant 4 2 2 8 4 2 16 8 2 That these ratios are all the same is sufficient for the given terms to form a geometric sequence with general term a n 2 n The sequence then continues 2 4 8 16 32 64 128 256 512 1024 2048 The question is in the Solution The given sequence is 2 4 8 16 32 First we have to determine the common ratio and check if they are equal r 1 4 2 2 r 2 8 4 2 r 3 16 8 2 r 4 32 16 2 As r 1 r 2 r 3 r 4 it is a geometric sequence We know that the formula which can be used is a n a 1 r n 1 r 2 Consider number of terms n
A 40 B 20 C 28 D 32 Solution The correct option is D 32 Sequence 2 4 8 16 The number right to a number in the given sequence is the double of the previous number 4 2 2 8 4 2 16 8 2 So the next number in the sequnce is 16 2 32 Suggest Corrections 16 Similar questions Q What will be the next number in the given sequence Mar 13 2016 2 21 4 22 8 23 16 24 2n Answer link 2 2 1 quad 4 2 2 quad 8 2 3 quad 16 2 4 quad cdots quad 2 n
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SOLVED DISCOVER PROVE Different Sequences That Start The Same a
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2 4 8 16 sequence list - This arithmetic sequence calculator also called the arithmetic series calculator is a handy tool for analyzing a sequence of numbers that is created by adding a constant value each time You can use it to find any property of the sequence the first term common difference n term or the sum of the first n terms