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state the rule and write the next three terms in the series 47,38,30,_,_,12,8,5
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state the rule and write the next three terms in the series 47,38,30,_...
Explanation of Sequence and Series
Sequence
A sequence is a set of numbers arranged in a particular order, usually according to a rule or pattern. The individual numbers in a sequence are called terms. Each term in the sequence is obtained by performing some operation on the previous term.
Series
A series is the sum of the terms of a sequence. It is denoted by the symbol 'S'.
Rule for the Sequence
The given sequence is 47, 38, 30, _, _, 12, 8, 5. To find the missing terms, we need to identify the rule that the sequence follows.
Upon observing the sequence, we can notice that each term is obtained by subtracting a certain number from the previous term.
The rule for the sequence can be expressed as:
nth term = (n-1)th term - d
where d is the common difference between consecutive terms.
Finding the Missing Terms
Using the above rule, we can find the missing terms as follows:
- 1st missing term = 22 (38 - 16)
- 2nd missing term = 16 (30 - 14)
- 3rd missing term = 10 (22 - 12)
Therefore, the next three terms in the sequence are 47, 38, 30, 22, 16, 10, 12, 8, 5.
Conclusion
In conclusion, a sequence is a set of numbers arranged in a particular order, while a series is the sum of the terms of a sequence. The rule for a sequence is a formula that describes how to obtain the next term in the sequence based on the previous term. In the given sequence, the missing terms are found by subtracting a certain number from the previous term.
Community Answer
state the rule and write the next three terms in the series 47,38,30,_...
Keep on subtracting in the sequence
9,8,7,6,5,4,3
so the required sequence will be
47 38 30 23 17 12 8 5
9,8,7,6,5,4,3
so the required sequence will be
47 38 30 23 17 12 8 5
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state the rule and write the next three terms in the series 47,38,30,_,_,12,8,5 Related: What is a Sequence? - Sequence and Series, Class 11, Mathematics
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state the rule and write the next three terms in the series 47,38,30,_,_,12,8,5 Related: What is a Sequence? - Sequence and Series, Class 11, Mathematics for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about state the rule and write the next three terms in the series 47,38,30,_,_,12,8,5 Related: What is a Sequence? - Sequence and Series, Class 11, Mathematics covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for state the rule and write the next three terms in the series 47,38,30,_,_,12,8,5 Related: What is a Sequence? - Sequence and Series, Class 11, Mathematics.
state the rule and write the next three terms in the series 47,38,30,_,_,12,8,5 Related: What is a Sequence? - Sequence and Series, Class 11, Mathematics for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about state the rule and write the next three terms in the series 47,38,30,_,_,12,8,5 Related: What is a Sequence? - Sequence and Series, Class 11, Mathematics covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for state the rule and write the next three terms in the series 47,38,30,_,_,12,8,5 Related: What is a Sequence? - Sequence and Series, Class 11, Mathematics.
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