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
- Find the WRONG number in the given series.
5040, 720, 120, 24, 4, 2 - Complete the series: 0, 7, 26, 63, ?
- In the following question, select the missing number from the given series.
169, 196, 225, 256, ? - What is the next number in the series?
1, 3, 9, 27, ___ - Complete the series.
7, 14, 12, 24, 22, ? - What should come at the place of question mark? 1, 8, 27, 64, 125, ?, 343
- What should come at the place of question mark?
2, 5, 10, 17, 26, ? - 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
Important Questions from Number Series
What will come in place of question mark (?) in the following number series?
2, 5, 11, 23, 44, 77, ?
What will come in place of question mark (?) in the following number series?
31, 32, 36, ?, 61, 86
What will come in the place of question mark (?) in the following number series?
3, 6, 18, ?, 630, 6930
What should come in place of the question mark ‘?’ in the following number series?
60, 40, 50, ?, 180, 460
A series is given with one term wrong. Select that wrong term from the given alternatives.
J12, M24, P48, S96, U192
