CA Foundation Exam > CA Foundation Questions > The 7th term of the series 6, 12, 24,…...
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The 7th term of the series 6, 12, 24,……is
- a)384
- b)834
- c)438
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
The 7th term of the series 6, 12, 24,……isa)384b)834c)438...
Given series: 6, 12, 24, ...
To find: 7th term of the series
Approach:
- The given series is a geometric progression (GP) because each term is obtained by multiplying the previous term by a common ratio.
- The common ratio (r) can be found by dividing any term by its preceding term.
- Once we know the first term (a) and the common ratio (r), we can use the formula for the nth term of a GP to find any term of the series.
Calculation:
- Common ratio (r) = 12/6 = 2
- First term (a) = 6
- Formula for nth term of a GP: an = a * rn-1
- 7th term (a7) = 6 * 2^6 = 6 * 64 = 384
Therefore, the 7th term of the series 6, 12, 24, ... is 384.
Hence, option (a) is the correct answer.
To find: 7th term of the series
Approach:
- The given series is a geometric progression (GP) because each term is obtained by multiplying the previous term by a common ratio.
- The common ratio (r) can be found by dividing any term by its preceding term.
- Once we know the first term (a) and the common ratio (r), we can use the formula for the nth term of a GP to find any term of the series.
Calculation:
- Common ratio (r) = 12/6 = 2
- First term (a) = 6
- Formula for nth term of a GP: an = a * rn-1
- 7th term (a7) = 6 * 2^6 = 6 * 64 = 384
Therefore, the 7th term of the series 6, 12, 24, ... is 384.
Hence, option (a) is the correct answer.
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Community Answer
The 7th term of the series 6, 12, 24,……isa)384b)834c)438...
First term (a) = 6
Common ratio (r) = 12÷6 = 2
we know that
7th term = a×r^(7-1)
a×r^6
6×(2)^6 = 384
Common ratio (r) = 12÷6 = 2
we know that
7th term = a×r^(7-1)
a×r^6
6×(2)^6 = 384
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The 7th term of the series 6, 12, 24,……isa)384b)834c)438d)none of theseCorrect answer is option 'A'. Can you explain this answer?
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