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Type the missing number in this sequence:\newline14,-14,10,-10,6,-6,_____\_\_\_\_\_,225588

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Q. Type the missing number in this sequence:\newline14,-14,10,-10,6,-6,_____\_\_\_\_\_,225588
  1. Identify Sequence Type: Is the given sequence geometric or arithmetic?\newlineHere, the difference between consecutive terms appears to be the same.\newlineThe given sequence is likely arithmetic.
  2. Calculate Common Difference: Find the common difference in the arithmetic sequence.\newlineTwo consecutive terms are 14-14 and 10-10.\newline10(14)=10+14=4-10 - (-14) = -10 + 14 = 4\newlineCommon Difference: 44
  3. Find Missing Number: Find the missing number in the sequence.\newlineAdd the common difference to 6-6.\newline6+4=2-6 + 4 = -2\newlineThe missing number should be 2-2.
  4. Verify Solution: Verify the solution by checking if the next term after the missing number, when added with the common difference, equals 22. \newline2+4=2-2 + 4 = 2\newlineThe verification is correct.

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