Fibonacci Sequence Identification
The sequence provided is 0, 1, 1, 2, 3, 5, 8, 13. This is a well-known mathematical sequence.
Observe the relationship between consecutive numbers:
- $0 + 1 = 1$
- $1 + 1 = 2$
- $1 + 2 = 3$
- $2 + 3 = 5$
- $3 + 5 = 8$
- $5 + 8 = 13$
Each number, starting from the third one, is the sum of the two preceding numbers. This is the definition of the Fibonacci sequence.
Calculating the Next Numbers
To find the next number in the sequence, add the last two numbers:
Last two numbers are 8 and 13.
Step 1: Calculate the first missing number.
The first missing number is the sum of the 7th and 8th terms (13 and 8):
$13 + 8 = 21$
Step 2: Calculate the second missing number.
The second missing number is the sum of the 8th term (13) and the newly calculated term (21):
$21 + 13 = 34$
Therefore, the next two numbers in the sequence are 21 and 34.
Sequence Conclusion
The sequence continues as: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34.
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
