3, 7, 14, 24, 37, ?
Sequence Pattern Identification
The problem requires finding the next number in the given sequence: 3, 7, 14, 24, 37, ?.
Analyzing Consecutive Differences
First, let's find the difference between each consecutive pair of numbers in the sequence:
- $7 - 3 = 4$
- $14 - 7 = 7$
- $24 - 14 = 10$
- $37 - 24 = 13$
Identifying the Difference Pattern
Observe the sequence of differences obtained: 4, 7, 10, 13. This sequence of differences forms an arithmetic progression. The difference between consecutive terms in this new sequence is constant:
- $7 - 4 = 3$
- $10 - 7 = 3$
- $13 - 10 = 3$
The common difference is 3.
Calculating the Next Term
To find the next number in the original sequence, we first need to determine the next difference in the sequence of differences. Following the pattern, the next difference will be:
- $13 + 3 = 16$
Now, add this next difference (16) to the last term of the original sequence (37) to find the missing number:
- $37 + 16 = 53$
Therefore, the number that should come at the place of the question mark is 53.
Similar Questions
Which number breaks the pattern?
3, 6, 11, 20, 33, 70
- What should come in place of the question mark '?' in the following number series?
$45, 40, 50, ?, 55, 30$ - Complete the series.
$25, 36, 49, 64, 81, ?$ - What should come at the place of question mark? : $98, 90, 82, 74, ?, 58$
- What should come at the place of question mark? 1, 8, 27, 64, 125, ?, 343
- The series given below contains a sequence of numbers. Accordingly identify the incorrect combination.
5, 9, 27, 31, 94, 97, 292 - Complete the series: 0, 7, 26, 63, ?
- What should come in place of the question mark '?' in the following number series?
12, 6, 0, -6, ?, -18 Complete the series.
10, 20, 18, 36, 34,68 ________- If
2 = 12
3 = 36
4 = 80
5 = 150
6 = 252
7 = 392
Then 8 = ?
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
