Question

Identify the pattern and the missing numbers to complete the sequence below.
$95,90,$ __, __, $75,$ __, __

• A. Add $10;$ Missing numbers: $80,70,65,55$
• B. Subtract $10;$ Missing numbers: $80,70,65,55$
• C. Subtract $5;$ Missing numbers: $85,80,70,65$
• D. Add $5;$ Missing numbers: $85,80,70,65$

Answer 1

The correct option is C Subtract $5;$ Missing numbers: $85,80,70,65$

Detailed step-by-step solution:
In the given sequence, the numbers are decreasing as we move from left to right.
$95–5=90$

If Option A is chosen, the numbers are decreasing in the sequence, adding $5$ cannot be the pattern, because then the numbers we get will be in increasing order.

If Option B is chosen, $95–10=85.$ So, the first two numbers of the sequence will be $95$ and $85,$ which does not match the given sequence.

If Option D is chosen, the numbers are decreasing in sequence, adding $10$ cannot be the pattern because then the numbers we get will be in increasing order.

If Option C is chosen, $95–5=90,90–5=85,85–5=80,80–5=75,75–5=70,70–5=65.$ By subtracting $5,$ the three given numbers of the sequence match with the numbers obtained.

Therefore, “Subtract 5” is the correct pattern and the missing numbers in the sequence are $85,80,70,$ and $65.$

Hence, Option C is correct.