Number Sequence Pattern Analysis
The problem asks to find the next number in the given sequence: 10, 17, 26, 37, 50, ? To solve this, we need to identify the underlying pattern.
Identifying the Pattern
We examine the differences between consecutive terms in the sequence:
- Difference between 17 and 10: $17 - 10 = 7$
- Difference between 26 and 17: $26 - 17 = 9$
- Difference between 37 and 26: $37 - 26 = 11$
- Difference between 50 and 37: $50 - 37 = 13$
Observe that the differences themselves form a sequence: 7, 9, 11, 13. This is a sequence of consecutive odd integers, increasing by 2 each time.
Calculating the Next Term
Following the pattern of differences, the next difference should be $13 + 2 = 15$.
To find the next term in the original sequence, we add this next difference (15) to the last known term (50):
$50 + 15 = 65$
Thus, the next number in the sequence is 65.
Similar Questions
- What should come at the place of question mark? 1, 8, 27, 64, 125, ?, 343
- In the following number series, a wrong number is given. Find out the WRONG number.
1, 4, 16, 64, 324 - What comes next: 0, 1, 1, 2, 3, 5, 8, 13, ?, ?
- What should come at the place of question mark?
100, 81, 64, 49, ?, 25 - Find the WRONG number in the given series.
5040, 720, 120, 24, 4, 2 - Complete the series: 0, 7, 26, 63, ?
- What should come at the place of question mark?
144, 121, 100, 81, ?, 49 - 3, 6, 18, 72, 360, ?
- The series given below contains a sequence of numbers. Accordingly identify the incorrect combination.
5, 9, 27, 31, 94, 97, 292 - Identify the pattern.
111x222, 222x333, 333x444, ______. Which fits next?
Important Questions from Number Series
Select the number from among the given options that can replace the question mark (?) in the following series.
37, 52, 74, 104, 143, ?
Select the number that can replace the question mark (?) in the following series.
17, 19, 22, 27, 34, 45, 58,?Select the number from among the given options that can replace the question mark (?) in the following series.
10, 14, 31, 35, 73, 77, ?
Select the number from among the given options that can replace the question mark (?) in the following series.
215, 231, 256, 292, ?
Select the number from among the given options that can replace the question mark (?) in the following series.
6, 6, 8, 24, 28, 140, ?
