Question

Identify the pattern and the missing numbers to complete the sequence below.
$27,37,$ ___, $57,$ ___, ___, $87,$ ___

• A. Add $10;$ Missing numbers: $47,67,77,97$
• B. Subtract $7;$ Missing numbers: $30,50,43,80$
• C. Add $7;$ Missing numbers: $47,67,77,97$
• D. Subtract $10;$ Missing numbers: $40,60,70,90$

Answer 1

The correct option is A Add $10;$ Missing numbers: $47,67,77,97$

Detailed step-by-step solution:
In the sequence, the numbers are increasing as we move from left to right.
$37–27=10,57–37=20,87–57=30$

There is one number missing between $37$ and $57$, and two numbers missing between $57$ and $87.$

If Option A is chosen, $27+7=34.$ So as per this option, the first two numbers of the sequence should be $27$ and $34,$ which does not match with the given sequence.

If Option B is chosen, the numbers of the sequence will be in decreasing order when we subtract, which will not match the given sequence.

If Option C is chosen, the numbers of the given sequence are in increasing order, so subtracting 7 cannot be the correct pattern.

If Option D is chosen, $27+10=37,37+10=47,47+10=57,57+10=67,67+10=77,77+10=87,87+10=97.$ If we add $10,$ the given number of the sequence matches with the obtained result.

Therefore, “Add $10”$ is the correct pattern and the missing numbers are $47,67,77,$ and $97.$

Hence, Option D is correct.