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Type the missing number in this sequence:\newline3,3, 5,5, 9,9, 15,15, 23,23, _____,\_\_\_\_\_, 4545

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Q. Type the missing number in this sequence:\newline3,3, 5,5, 9,9, 15,15, 23,23, _____,\_\_\_\_\_, 4545
  1. Identify Pattern: Identify the pattern in the sequence.\newlineWe will look at the differences between consecutive terms to see if there is a pattern.\newline53=25 - 3 = 2\newline95=49 - 5 = 4\newline159=615 - 9 = 6\newline2315=823 - 15 = 8\newlineThe differences are increasing by 22 each time.
  2. Predict Next Difference: Predict the next difference in the pattern. If the pattern continues, the next difference should be 8+2=108 + 2 = 10.
  3. Find Missing Number: Find the missing number in the sequence.\newlineAdd the predicted difference to the last known number in the sequence.\newline23+10=3323 + 10 = 33\newlineSo, the missing number should be 3333.
  4. Verify Pattern Continues: Verify the pattern continues after the missing number.\newlineAdd the next difference (which should be 10+2=1210 + 2 = 12) to the missing number we found.\newline33+12=4533 + 12 = 45\newlineSince 4545 is the next number in the sequence, our pattern is correct.

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