Question:

What is the missing number in the following sequence? 8, 15, 28, 53, __

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Look for "double and subtract" patterns if the sequence grows almost, but not quite, twice as fast each step.
  • 101
  • 102
  • 199
  • 103
Show Solution
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The Correct Option is B

Solution and Explanation

Step 1: Concept
The pattern involves multiplying the previous term by 2 and then subtracting a value that increases by 1 each step.

Step 2: Meaning

We apply the logic: $(8 \times 2) - 1 = 15$; $(15 \times 2) - 2 = 28$; $(28 \times 2) - 3 = 53$.

Step 3: Analysis

Following the sequence of subtractions ($1, 2, 3$), the next operation should be multiplying by 2 and subtracting 4.

Step 4: Conclusion

Calculation: $(53 \times 2) - 4 = 106 - 4 = 102$. Final Answer: (B)
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