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What is the missing number in the following sequence? 2, 12, 60, 240, 720, 1440, .... 0
- a)2880
- b)1440
- c)720
- d)0
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
What is the missing number in the following sequence? 2, 12, 60, 240, ...
The series starts with 2. We multiply first term with 6 to get second term 12 Then we multiply second term with 5 to get third term 60 Then we multiply third term with 4 to get fourth term 340 Then we multiply fourth term with 3 to get fifth term 720 Then we multiply fifth term with 2 to get fifth term 1440. Then we need to multiply with 1 and we get 1440 again.
Most Upvoted Answer
What is the missing number in the following sequence? 2, 12, 60, 240, ...
Missing Number in the Sequence:
To find the missing number in the given sequence, let's analyze the pattern and make observations.
Pattern Analysis:
The given sequence is 2, 12, 60, 240, 720, 1440, ....
Multiplication Pattern:
Upon observing the sequence, we can notice that each term is obtained by multiplying the previous term by a specific number.
- The second term (12) is obtained by multiplying the first term (2) by 6.
- The third term (60) is obtained by multiplying the second term (12) by 5.
- The fourth term (240) is obtained by multiplying the third term (60) by 4.
- The fifth term (720) is obtained by multiplying the fourth term (240) by 3.
- The sixth term (1440) is obtained by multiplying the fifth term (720) by 2.
So, we can observe that each term is obtained by multiplying the previous term by a number that decreases by 1 each time.
Expected Multiplication Factors:
Based on the pattern, we can expect the next multiplication factor to be 1.
Determining the Missing Term:
To find the missing term in the sequence, we can continue the pattern by multiplying the sixth term (1440) by the expected factor (1).
1440 * 1 = 1440
Hence, the missing number in the sequence is 1440.
Conclusion:
The missing number in the given sequence 2, 12, 60, 240, 720, 1440, ... is 1440.
To find the missing number in the given sequence, let's analyze the pattern and make observations.
Pattern Analysis:
The given sequence is 2, 12, 60, 240, 720, 1440, ....
Multiplication Pattern:
Upon observing the sequence, we can notice that each term is obtained by multiplying the previous term by a specific number.
- The second term (12) is obtained by multiplying the first term (2) by 6.
- The third term (60) is obtained by multiplying the second term (12) by 5.
- The fourth term (240) is obtained by multiplying the third term (60) by 4.
- The fifth term (720) is obtained by multiplying the fourth term (240) by 3.
- The sixth term (1440) is obtained by multiplying the fifth term (720) by 2.
So, we can observe that each term is obtained by multiplying the previous term by a number that decreases by 1 each time.
Expected Multiplication Factors:
Based on the pattern, we can expect the next multiplication factor to be 1.
Determining the Missing Term:
To find the missing term in the sequence, we can continue the pattern by multiplying the sixth term (1440) by the expected factor (1).
1440 * 1 = 1440
Hence, the missing number in the sequence is 1440.
Conclusion:
The missing number in the given sequence 2, 12, 60, 240, 720, 1440, ... is 1440.
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What is the missing number in the following sequence? 2, 12, 60, 240, 720, 1440, .... 0a)2880b)1440c)720d)0Correct answer is option 'B'. Can you explain this answer? for Computer Science Engineering (CSE) 2025 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about What is the missing number in the following sequence? 2, 12, 60, 240, 720, 1440, .... 0a)2880b)1440c)720d)0Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the missing number in the following sequence? 2, 12, 60, 240, 720, 1440, .... 0a)2880b)1440c)720d)0Correct answer is option 'B'. Can you explain this answer?.
What is the missing number in the following sequence? 2, 12, 60, 240, 720, 1440, .... 0a)2880b)1440c)720d)0Correct answer is option 'B'. Can you explain this answer? for Computer Science Engineering (CSE) 2025 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about What is the missing number in the following sequence? 2, 12, 60, 240, 720, 1440, .... 0a)2880b)1440c)720d)0Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the missing number in the following sequence? 2, 12, 60, 240, 720, 1440, .... 0a)2880b)1440c)720d)0Correct answer is option 'B'. Can you explain this answer?.
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