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Type the next number in this sequence:\newline3,  5,  9,  15,  23,  33,  ___3,\;5,\;9,\;15,\;23,\;33,\;\_\_\_

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Full solution

Q. Type the next number in this sequence:\newline3,  5,  9,  15,  23,  33,  ___3,\;5,\;9,\;15,\;23,\;33,\;\_\_\_
  1. Identify Pattern: Step 11: Identify the pattern in the sequence.\newlineLook at the differences between consecutive terms: 5−3=25-3=2, 9−5=49-5=4, 15−9=615-9=6, 23−15=823-15=8, 33−23=1033-23=10.\newlineThe differences are increasing by 22 each time.
  2. Predict Next Difference: Step 22: Predict the next difference.\newlineThe last difference was 1010, so adding 22 gives us 1212.
  3. Calculate Next Term: Step 33: Calculate the next term in the sequence.\newlineAdd the last term of the sequence (3333) and the next difference (1212).\newline33+12=4533 + 12 = 45.

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