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Type the next number in this sequence:\newline3,  5,  9,  15,  23,  ____3,\;5,\;9,\;15,\;23,\;\_\_\_\_

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Full solution

Q. Type the next number in this sequence:\newline3,  5,  9,  15,  23,  ____3,\;5,\;9,\;15,\;23,\;\_\_\_\_
  1. Identify Pattern: Identify the pattern in the sequence.\newlineThe differences between the numbers are as follows: 5−3=25 - 3 = 2, 9−5=49 - 5 = 4, 15−9=615 - 9 = 6, 23−15=823 - 15 = 8.\newlineThe differences are increasing by 22 each time.
  2. Predict Next Difference: Predict the next difference in the sequence.\newlineIf the pattern continues, the next difference should be 8+2=108 + 2 = 10.
  3. Calculate Next Number: Calculate the next number in the sequence.\newlineThe last number in the sequence is 2323, so adding the next difference, we get 23+10=3323 + 10 = 33.

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