Question

Find out the missing number in the following number series.
483, 500, 581, 711, 877, ?

• A. 952
• B. 1124
• C. 996
• D. 1068

Answer 1

The Correct Option is D

To solve this problem, we need to identify the pattern or rule governing the sequence: 483, 500, 581, 711, 877, ?.

Let's examine the differences between consecutive numbers:

• 500 - 483 = 17 
• 581 - 500 = 81
• 711 - 581 = 130
• 877 - 711 = 166

Next, let's look for a pattern in these differences: 17, 81, 130, 166.

Now, calculate the differences between these differences:

• 81 - 17 = 64
• 130 - 81 = 49
• 166 - 130 = 36

The sequence of differences between the differences is: 64, 49, 36.

Notice that these numbers are consecutive perfect squares: 8², 7², 6².

Following this logic, the next perfect square should be 5² = 25. Therefore, the next difference in the sequence of differences would be:

• 25

Calculating the next number in the series of differences gives:

• 166 + 25 = 191

Therefore, adding this to the last given number in the original series:

• 877 + 191 = 1068

Number Series	Differences	Differences of Differences
483
500	17
581	81	64 (8²)
711	130	49 (7²)
877	166	36 (6²)
1068	191	25 (5²)

Hence, the missing number is 1068.