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Type the missing number in this sequence:\newline11, 33, 77, _____, 2121, 3131, 4343

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Q. Type the missing number in this sequence:\newline11, 33, 77, _____, 2121, 3131, 4343
  1. Identify Pattern: Identify the pattern in the sequence.\newlineLook at the differences between the numbers to see if there is a consistent pattern.\newline11 to 33 is an increase of 22.\newline33 to 77 is an increase of 44.\newlineIf the pattern is increasing by consecutive even numbers, the next difference should be 66.
  2. Apply Pattern: Apply the pattern to find the missing number. Add 66 to the third term (77) to find the fourth term. 7+6=137 + 6 = 13
  3. Verify Continuation: Verify the pattern continues after the missing number. Add the next consecutive even number, which is 88, to the number we found for the missing term (1313). 13+8=2113 + 8 = 21 This matches the next number in the sequence, so the pattern is correct.
  4. Check Remaining Numbers: Check the pattern with the remaining numbers.\newlineAdd the next consecutive even number, which is 1010, to 2121 to see if it matches the next number in the sequence.\newline21+10=3121 + 10 = 31\newlineThis matches the next number in the sequence.\newlineThen, add the next consecutive even number, which is 1212, to 3131.\newline31+12=4331 + 12 = 43\newlineThis matches the last number in the sequence, confirming the pattern.

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