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 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.
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
It is increasing by odd numbers consecutively._______or: n = the term number, the rule is: n2 or n(n). 12=1(1x1=1), 22=4(2x2=4), 32=9(3x3=9), and so on.
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.
To find the next number in the sequence 16, 11, 13, 8, 10, 5, 7, we first look for a pattern. Consider the differences between consecutive terms: 11 - 16 = -5 13 - 11 = 2 8 - 13 = -5 10 - 8 = 2 5 - 10 = -5 7 - 5 = 2 The differences alternate between -5 and 2. Following this pattern, the next difference after 7 should be -5: 7 + (-5) = 2 Therefore, the next number in the sequence is **2**.