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Type the missing number in this sequence:\newline56,  46,  _____,  26,  16,  656,\;46,\;\_\_\_\_\_,\;26,\;16,\;6

Full solution

Q. Type the missing number in this sequence:\newline56,  46,  _____,  26,  16,  656,\;46,\;\_\_\_\_\_,\;26,\;16,\;6
  1. Identify Pattern: To find the missing number in the sequence, we need to determine the pattern. By looking at the given numbers, we can see that each number is decreasing by a constant value.\newlineLet's find the difference between the consecutive numbers provided.\newline4656=1046 - 56 = -10
  2. Calculate Difference: Since the difference between 5656 and 4646 is 10-10, we can assume that the sequence decreases by 1010 each time. To find the missing number, we subtract 1010 from 4646. \newline4610=3646 - 10 = 36
  3. Apply Pattern: Now, let's check if our pattern holds for the next numbers in the sequence. 263626 - 36 should equal 10-10 if our pattern is correct. 2636=1026 - 36 = -10
  4. Verify Pattern: Finally, let's verify the pattern with the last pair of numbers given. \newline162616 - 26 should also equal 10-10.\newline1626=1016 - 26 = -10

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