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All questions of Patterns in Mathematics for Class 6 Exam
Find the missing number: 2, 5, 10, 17, ? , 37.- a)20
- b)25
- c)26
- d)30
Correct answer is option 'C'. Can you explain this answer?
Find the missing number: 2, 5, 10, 17, ? , 37.
a)
20
b)
25
c)
26
d)
30
|
Coders Trust answered |
This sequence follows the rule n² + 1.
For n=1: 1² + 1 = 2
For n=2: 2² + 1 = 5
For n=3: 3² + 1 = 10
For n=4: 4² + 1 = 17
For n=5: 5² + 1 = 26
For n=6: 6² + 1 = 37
So the missing number is 26.
For n=1: 1² + 1 = 2
For n=2: 2² + 1 = 5
For n=3: 3² + 1 = 10
For n=4: 4² + 1 = 17
For n=5: 5² + 1 = 26
For n=6: 6² + 1 = 37
So the missing number is 26.
Find the next number in the sequence: 5, 10, 20, 40, …- a)60
- b)70
- c)80
- d)100
Correct answer is option 'C'. Can you explain this answer?
Find the next number in the sequence: 5, 10, 20, 40, …
a)
60
b)
70
c)
80
d)
100
|
|
Coders Trust answered |
Each number is multiplied by 2 to get the next number:
5 × 2 = 10, 10 × 2 = 20, 20 × 2 = 40, 40 × 2 = 80.
So the next number is 80.
5 × 2 = 10, 10 × 2 = 20, 20 × 2 = 40, 40 × 2 = 80.
So the next number is 80.
Find the next number in the sequence: 1, 1, 2, 3, 5, 8, …- a)10
- b)11
- c)12
- d)13
Correct answer is option 'D'. Can you explain this answer?
Find the next number in the sequence: 1, 1, 2, 3, 5, 8, …
a)
10
b)
11
c)
12
d)
13
|
Bijoy Goyal answered |
Understanding the Sequence
The sequence provided is: 1, 1, 2, 3, 5, 8. This sequence follows the well-known Fibonacci pattern, where each number is the sum of the two preceding ones.
Identifying the Pattern
- Start with the first two numbers: 1 and 1.
- The next number is calculated as:
- 1 + 1 = 2
- The following number is:
- 1 + 2 = 3
- Continuing this, we have:
- 2 + 3 = 5
- And:
- 3 + 5 = 8
Finding the Next Number
To find the next number in the sequence, we will sum the last two numbers:
- The last two numbers are 5 and 8.
- So, calculate:
- 5 + 8 = 13
Conclusion
Thus, the next number in the sequence is 13. The correct answer is option 'D'.
Recap of the Fibonacci Sequence
- Starts with: 1, 1
- Next numbers: Each number is the sum of the two preceding ones
- Next number calculation: 5 + 8 = 13
This Fibonacci sequence can be a fun and intriguing concept for students to explore further!
The sequence provided is: 1, 1, 2, 3, 5, 8. This sequence follows the well-known Fibonacci pattern, where each number is the sum of the two preceding ones.
Identifying the Pattern
- Start with the first two numbers: 1 and 1.
- The next number is calculated as:
- 1 + 1 = 2
- The following number is:
- 1 + 2 = 3
- Continuing this, we have:
- 2 + 3 = 5
- And:
- 3 + 5 = 8
Finding the Next Number
To find the next number in the sequence, we will sum the last two numbers:
- The last two numbers are 5 and 8.
- So, calculate:
- 5 + 8 = 13
Conclusion
Thus, the next number in the sequence is 13. The correct answer is option 'D'.
Recap of the Fibonacci Sequence
- Starts with: 1, 1
- Next numbers: Each number is the sum of the two preceding ones
- Next number calculation: 5 + 8 = 13
This Fibonacci sequence can be a fun and intriguing concept for students to explore further!
Chapter doubts & questions for Patterns in Mathematics - Maths Olympiad Class 6 2025 is part of Class 6 exam preparation. The chapters have been prepared according to the Class 6 exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Class 6 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
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