Question

Identify the pattern and the missing numbers to complete the sequence below.
$50,53,$ ___, $59,$ ___, ___

• A. Subtract $3;$ Missing numbers: $56,62,63$
• B. Add $3;$ Missing numbers: $56,62,65$
• C. Add $4;$ Missing numbers: $57,63,67$
• D. Add $2;$ Missing numbers: $55,61,63$

Answer 1

The correct option is B Add $3;$ Missing numbers: $56,62,65$

Detailed step-by-step solution:
In the given sequence, the numbers are increasing as we move from left to right.
$53–50=3$ and $59–53=6$

Also, there is a missing number between $53$ and $59.$

Based on the given options, we need to add and subtract numbers to find the missing numbers in the sequence.

If Option A is chosen, $50+4=54.$ So, here the second number as per the option should be $54$, which does not match the given sequence.

If Option B is chosen, the numbers should be in decreasing order when we subtract a number. But in the given sequence, the numbers are in increasing order.

If Option D is chosen, $50+2=52$. So, as per this option, the second number should be $53$, which does not match the given sequence.

If Option C is chosen, $50+3=53,53+3=56,56+3=59,59+3=62,62+3=65.$ If we add $3,$ the given 2nd, 3rd, and 4th number in the sequence matches the result obtained.

Therefore, the pattern is “Add $3”$ and the missing numbers are $56,62,$ and $65.$

Hence, Option C is correct.