Number Sequence Pattern Identification
The task is to identify the missing number in the given sequence: 1, 3, 6, 10, 15, ?
Sequence Difference Analysis
We first find the difference between consecutive terms to reveal the pattern:
- The difference between the second and first term is $3 - 1 = 2$.
- The difference between the third and second term is $6 - 3 = 3$.
- The difference between the fourth and third term is $10 - 6 = 4$.
- The difference between the fifth and fourth term is $15 - 10 = 5$.
The differences form a sequence: 2, 3, 4, 5.
Calculating the Next Term
Observing the sequence of differences (2, 3, 4, 5), we see that each difference increases by 1. Therefore, the next difference should be $5 + 1 = 6$.
To find the missing term in the original sequence, we add this next difference (6) to the last known term (15):
$15 + 6 = 21$
Result
The missing number in the sequence is 21.
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 - What comes next: 10, 17, 26, 37, 50, ?
- 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
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, ?
