The next numbers in the series are 32 and 57. This is reached by adding successive square numbers 1, 4, 9, 16, 25 and so on.
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The next number in the series is 57. This is reached by adding successive square numbers 1, 4, 9, 16, 25 and so on.
The general term for the sequence 0, 1, 1, 2, 2, 3, 3 is infinite sequence.
Partial sums for a sequence are sums of the first one, first two, first three, etc numbers of the sequence. So, the series of partial sums is:2, 6, 14, 30, 62, ...It is the sequence whose nth term isT(n) = 2^(n+1) - 2 for n = 1, 2, 3, ...
The sequence alternates between dividing by 2 and adding 4. Starting with 72, we divide by 2 to get 36, then add 4 to get 40, divide by 2 to get 20, and so on. Following this pattern, the next number in the sequence would be 8 (16 divided by 2).
The wrong number in this sequence is 20. The pattern in the sequence is doubling each number, so it should go 2, 4, 8, 16, 32, 64, etc. However, 20 breaks this pattern by not being double the previous number.
The next number in the series is 57. This is reached by adding successive square numbers 1, 4, 9, 16, 25 and so on.
The factor that does not belong in the sequence is 1. The sequence follows a pattern of multiplying by 2: 2 x 2 = 4, 4 x 2 = 8, 8 x 2 = 16. However, 1 does not fit this pattern and disrupts the sequence.
The general term for the sequence 0, 1, 1, 2, 2, 3, 3 is infinite sequence.
The next number in the sequence 2, 4, 16, 64 is 256.
Partial sums for a sequence are sums of the first one, first two, first three, etc numbers of the sequence. So, the series of partial sums is:2, 6, 14, 30, 62, ...It is the sequence whose nth term isT(n) = 2^(n+1) - 2 for n = 1, 2, 3, ...
The sequence alternates between dividing by 2 and adding 4. Starting with 72, we divide by 2 to get 36, then add 4 to get 40, divide by 2 to get 20, and so on. Following this pattern, the next number in the sequence would be 8 (16 divided by 2).
The wrong number in this sequence is 20. The pattern in the sequence is doubling each number, so it should go 2, 4, 8, 16, 32, 64, etc. However, 20 breaks this pattern by not being double the previous number.
Final sequence:- 1,4,9,16,25,36,49,64,81,100,121,144,169,196… This is a pattern of square numbers. 1^2=1, 2^2=2, 3^2=9, 4^2=16, and 5^2=25. The next number would be 36 because 6^2 equals 36.
To find the nth term of a sequence, we first need to identify the pattern or rule governing the sequence. In this case, the sequence appears to be increasing by 4, then 8, then 12, then 16, and so on. This pattern suggests that the nth term can be represented by the formula n^2 + n, where n is the position of the term in the sequence. So, the nth term for the given sequence is n^2 + n.
This is a sequence based on the squares of numbers (positive integers) but starting with the square of 2. Under normal circumstances the sequence formula would be n2 but as the first term is 4, the sequence formula becomes, (n + 1)2. Check : the third term is (3 + 1)2 = 42 = 16
42, each number in the sequence is the addition of the previous two: 2-2-4-6-10-16-26 2+2=4 4+6=10 6+10=16 10+16=26 16+26=42
From the given sequence, the pattern appears to be 47-42=4, 42/3=14, 14*2=28, 28-4=24, 24/3=8, 8*2=16 and therefore the next number will be 16-4=12.