Which of the following numbers will replace the question mark (?) in the given number series?
25, 115, 214, 322, ?, 565, 700
- A448
- B427
- C439
- D432
Solution & Step-by-step Explanation
Let's look at the differences between consecutive terms in the series:
115−25=90
214−115=99
322−214=108
Let's notice the pattern in these first-level differences:
90,99,108,…
The difference between consecutive differences (second-level difference) is:
99−90=9
108−99=9
Following this pattern, the next difference should be:
108+9=117
Thus, the missing number (?) would be:
322+117=439
Let's verify if this holds true for the rest of the series:
Next difference should be: 117+9=126
Next term: 439+126=565 (Matches the given term)
Next difference should be: 126+9=135
Next term: 565+135=700 (Matches the given term)
Hence, the correct answer is 439.
115−25=90
214−115=99
322−214=108
Let's notice the pattern in these first-level differences:
90,99,108,…
The difference between consecutive differences (second-level difference) is:
99−90=9
108−99=9
Following this pattern, the next difference should be:
108+9=117
Thus, the missing number (?) would be:
322+117=439
Let's verify if this holds true for the rest of the series:
Next difference should be: 117+9=126
Next term: 439+126=565 (Matches the given term)
Next difference should be: 126+9=135
Next term: 565+135=700 (Matches the given term)
Hence, the correct answer is 439.