Type the missing number in this sequence: 5, 5, _____, 11, 17, 25, 35

Question

Type the missing number in this sequence:  5,    5,    _____,    11,    17,    25,    35

Bytelearn · Accepted Answer

Identify Pattern: Identify the pattern in the sequence. We need to look at the differences between the numbers to see if there is a consistent pattern. 5 to 5 has a difference of 0. We will need to find the difference between the other numbers once we have the missing number.Analyze Differences: Look at the differences between the known numbers in the sequence. 11 - 5 = 6 17 - 11 = 6 25 - 17 = 8 35 - 25 = 10 It seems that the difference is not consistent, but it is increasing by 2 each time after the first two numbers.Predict Missing Number: Predict the difference before the missing number. If the pattern of increasing by 2 continues, then the difference before the missing number should be 4, since the difference after it is 6.Calculate Missing Number: Calculate the missing number using the predicted difference. If the difference before the missing number is 4, then the missing number should be 5 + 4 = 9.Verify Pattern: Verify the pattern with the calculated missing number. 5, 5 (difference of 0), 9 (difference of 4), 11 (difference of 2), 17 (difference of 6), 25 (difference of 8), 35 (difference of 10). The pattern of differences is now 0, 4, 2, 6, 8, 10, which does not make sense. There is an inconsistency in our pattern.

Type the missing number in this sequence: $\newline$ $5$ , $5$ , $\_$ , $11$ , $17$ , $25$ , $35$

Full solution

More problems from Sequences: mixed review

Related topics

Type the missing number in this sequence:\newline555, 555, _\__, 111111, 171717, 252525, 353535

Type the missing number in this sequence: $\newline$ $5$ , $5$ , $\_$ , $11$ , $17$ , $25$ , $35$