what is the rule for 1 2 4 8 16 1 1 2 2 4 4 8 8 16 16 This is a geometric sequence since there is a common ratio between each term In this case multiplying the previous term in the sequence by 2 2
Geometric Sequences 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 Free sequence calculator step by step solutions to help identify the sequence and find the nth term of arithmetic and geometric sequence types
what is the rule for 1 2 4 8 16
what is the rule for 1 2 4 8 16
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The general form of these things is a ar ar 2 ar 3 ar r For this example a 1 r 2 Note the cases with r 1 are not interesting When r 1 the sequence tends to infinity Explanation The difference between successive terms is not a constant so the sequence is not an arithmetic sequence Checking to see if the sequence might be
0 1 1 2 3 5 8 13 21 a 0 0 a 1 1 This free number sequence calculator can determine the terms as well as the sum of all terms of the arithmetic geometric or 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
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A quick puzzle for you look at the first few square numbers 1 4 9 16 25 36 49 And now find the difference between consecutive squares 1 to 4 3 4 to 9 5 9 to 16 7 16 to 25 9 25 to 36 11 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
Answer and Explanation 1 The given sequence 1 2 4 8 16 32 64 First of all check the sequence for the given geometric sequence by finding out the common ratio If you apply the digit sum operator to the added number repeatedly you can make the sequence 1 2 4 8 7 5 dots For instance from 1991 to 2021 you add 20
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what is the rule for 1 2 4 8 16 - Explanation The difference between successive terms is not a constant so the sequence is not an arithmetic sequence Checking to see if the sequence might be