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Type the missing numbers in this sequence:\newline70,-70, _____, 80,-80, 85,-85, 90,-90, _____, 100-100

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Q. Type the missing numbers in this sequence:\newline70,-70, _____, 80,-80, 85,-85, 90,-90, _____, 100-100
  1. Identify Pattern: Identify the pattern in the sequence.\newlineWe notice that the sequence seems to be decreasing, but we need to find the common difference to understand the pattern. We can start by looking at the known consecutive terms 85-85 and 90-90.\newlineCalculate the difference between 85-85 and 90-90.\newline90(85)=90+85=5-90 - (-85) = -90 + 85 = -5\newlineThe common difference appears to be 5-5.
  2. Calculate Common Difference: Use the common difference to find the missing term before 80-80. Since the common difference is 5-5, we add 55 to 80-80 to find the previous term. 80+5=75-80 + 5 = -75 The missing term before 80-80 is 75-75.
  3. Find Missing Term Before 80-80: Confirm the pattern by checking if the same common difference applies to the term before 75-75.\newlineIf the sequence is consistent, adding 55 to 75-75 should give us the term before it, which is 70-70.\newline75+5=70-75 + 5 = -70\newlineThe pattern is consistent, confirming the common difference of 5-5.
  4. Confirm Pattern Consistency: Use the common difference to find the missing term after 90-90. Since the common difference is 5-5, we subtract 55 from 90-90 to find the next term. 905=95-90 - 5 = -95 The missing term after 90-90 is 95-95.

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