Type the missing number in this sequence: 2, 4, 7, 11, _____, 22, 29, 37

Question

Type the missing number in this sequence:  2,    4,    7,    11,    _____,    22,    29,    37

Bytelearn · Accepted Answer

Identify Pattern: Identify the pattern in the sequence. We need to look at the differences between consecutive terms to see if there is a pattern. Difference between 4 and 2 is 2. Difference between 7 and 4 is 3. Difference between 11 and 7 is 4. It seems that the difference between consecutive terms is increasing by 1 each time.Predict Next Difference: Predict the next difference in the sequence. If the pattern of increasing the difference by 1 continues, the difference between the missing number and 11 should be 5.Calculate Missing Number: Calculate the missing number. Add the difference found in the previous step to the last known number before the missing number. 11 + 5 = 16 The missing number should be 16.Verify Pattern Continues: Verify the pattern continues after the missing number. The difference between 22 and the missing number should be 6, since the pattern of increasing by 1 should continue. 16 + 6 = 22 This matches the next number in the sequence, so our pattern seems to be correct.Check Next Pair: Check the pattern with the next pair of numbers. The difference between 29 and 22 is 7, which continues the pattern of increasing by 1. The difference between 37 and 29 is 8, which also continues the pattern.

Type the missing number in this sequence: $\newline$ $2$ , $4$ , $7$ , $11$ , _____, $22$ , $29$ , $37$

Full solution

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Type the missing number in this sequence:\newline222, 444, 777, 111111, _____, 222222, 292929, 373737

Type the missing number in this sequence: $\newline$ $2$ , $4$ , $7$ , $11$ , _____, $22$ , $29$ , $37$