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
- 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 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 - 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, ?
