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The first three terms of a sequence are 3,3,6 and each term after the second is sum of two terms preceding it ,the 8th term of sequence is : options are a)15, b)24 , c)39 ,d)63?
Most Upvoted Answer
The first three terms of a sequence are 3,3,6 and each term after the ...
The sequence will be
=> 3,3,6,(3+6),(3+6+6),(3+6+6+3+6),(3+6+6+3+6+3+6+6),(3+6+6+3+6+3+6+6+3+6+6+3+6)
=> 3,3,6,9,15,24,39,63
where 63 is the 8th term
=> 3,3,6,(3+6),(3+6+6),(3+6+6+3+6),(3+6+6+3+6+3+6+6),(3+6+6+3+6+3+6+6+3+6+6+3+6)
=> 3,3,6,9,15,24,39,63
where 63 is the 8th term
Community Answer
The first three terms of a sequence are 3,3,6 and each term after the ...
Given Information:
- The first three terms of the sequence are 3, 3, and 6.
- Each term after the second term is the sum of the two terms preceding it.
To Find:
The 8th term of the sequence.
Solution:
Step 1: Find the pattern
Let's examine the given sequence to identify any patterns:
1st term: 3
2nd term: 3
3rd term: 6
4th term: 3 + 3 = 6
5th term: 3 + 6 = 9
6th term: 6 + 9 = 15
7th term: 9 + 15 = 24
We can observe that the sequence follows a pattern. Each term is the sum of the two preceding terms.
Step 2: Find the 8th term
To find the 8th term, we need to apply the pattern:
8th term: (7th term) + (6th term) = 24 + 15 = 39
Step 3: Answer
Therefore, the answer is option c) 39.
Conclusion:
The 8th term of the given sequence is 39.
- The first three terms of the sequence are 3, 3, and 6.
- Each term after the second term is the sum of the two terms preceding it.
To Find:
The 8th term of the sequence.
Solution:
Step 1: Find the pattern
Let's examine the given sequence to identify any patterns:
1st term: 3
2nd term: 3
3rd term: 6
4th term: 3 + 3 = 6
5th term: 3 + 6 = 9
6th term: 6 + 9 = 15
7th term: 9 + 15 = 24
We can observe that the sequence follows a pattern. Each term is the sum of the two preceding terms.
Step 2: Find the 8th term
To find the 8th term, we need to apply the pattern:
8th term: (7th term) + (6th term) = 24 + 15 = 39
Step 3: Answer
Therefore, the answer is option c) 39.
Conclusion:
The 8th term of the given sequence is 39.
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The first three terms of a sequence are 3,3,6 and each term after the second is sum of two terms preceding it ,the 8th term of sequence is : options are a)15, b)24 , c)39 ,d)63?
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The first three terms of a sequence are 3,3,6 and each term after the second is sum of two terms preceding it ,the 8th term of sequence is : options are a)15, b)24 , c)39 ,d)63? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The first three terms of a sequence are 3,3,6 and each term after the second is sum of two terms preceding it ,the 8th term of sequence is : options are a)15, b)24 , c)39 ,d)63? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The first three terms of a sequence are 3,3,6 and each term after the second is sum of two terms preceding it ,the 8th term of sequence is : options are a)15, b)24 , c)39 ,d)63?.
The first three terms of a sequence are 3,3,6 and each term after the second is sum of two terms preceding it ,the 8th term of sequence is : options are a)15, b)24 , c)39 ,d)63? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The first three terms of a sequence are 3,3,6 and each term after the second is sum of two terms preceding it ,the 8th term of sequence is : options are a)15, b)24 , c)39 ,d)63? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The first three terms of a sequence are 3,3,6 and each term after the second is sum of two terms preceding it ,the 8th term of sequence is : options are a)15, b)24 , c)39 ,d)63?.
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