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Type the missing number in this sequence:\newline4,  5,  ____,  10,  14,  19,  254,\;5,\;\_\_\_\_,\;10,\;14,\;19,\;25

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Full solution

Q. Type the missing number in this sequence:\newline4,  5,  ____,  10,  14,  19,  254,\;5,\;\_\_\_\_,\;10,\;14,\;19,\;25
  1. Identify pattern: Step 11: Identify the pattern in the sequence.\newlineWe start by looking at the differences between consecutive terms given:\newline5−4=15 - 4 = 1\newline10−_____=_____10 - \_\_\_\_\_ = \_\_\_\_\_\newline14−10=414 - 10 = 4\newline19−14=519 - 14 = 5\newline25−19=625 - 19 = 6\newlineIt seems like the differences are increasing by 11 each time, starting from 11.
  2. Find missing number: Step 22: Continue the pattern to find the missing number.\newlineIf the difference increases by 11 each time, the difference before 44 should be:\newline4−(1−1)=44 - (1 - 1) = 4\newlineNow, using the pattern to find the missing number:\newline5+(1+1)=75 + (1 + 1) = 7\newlineSo, the missing number should be 77.

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