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The 7th term of the series 6, 12, 24,.is a 384 b 834 c 438 d none?
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The 7th term of the series 6, 12, 24,.is a 384 b 834 c 438 d none?
Solution:
Finding the Common Ratio (r)
---------------------------
The given series is 6, 12, 24, ...
To find the common ratio 'r', we divide any term by its previous term. Let's take the second and first terms for this purpose:
r = 12/6 = 2
Finding the 7th term (a7)
------------------------
To find the 7th term, we need to use the formula:
an = a1 * r^(n-1)
where a1 is the first term, r is the common ratio, and n is the term number we want to find.
Let's substitute the given values:
a1 = 6 (first term)
r = 2 (common ratio)
n = 7 (term number we want to find)
a7 = 6 * 2^(7-1)
a7 = 6 * 2^6
a7 = 6 * 64
a7 = 384
Therefore, the 7th term of the series 6, 12, 24, ... is 384.
Answer: (a) 384
Finding the Common Ratio (r)
---------------------------
The given series is 6, 12, 24, ...
To find the common ratio 'r', we divide any term by its previous term. Let's take the second and first terms for this purpose:
r = 12/6 = 2
Finding the 7th term (a7)
------------------------
To find the 7th term, we need to use the formula:
an = a1 * r^(n-1)
where a1 is the first term, r is the common ratio, and n is the term number we want to find.
Let's substitute the given values:
a1 = 6 (first term)
r = 2 (common ratio)
n = 7 (term number we want to find)
a7 = 6 * 2^(7-1)
a7 = 6 * 2^6
a7 = 6 * 64
a7 = 384
Therefore, the 7th term of the series 6, 12, 24, ... is 384.
Answer: (a) 384
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The 7th term of the series 6, 12, 24,.is a 384 b 834 c 438 d none?
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The 7th term of the series 6, 12, 24,.is a 384 b 834 c 438 d none? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The 7th term of the series 6, 12, 24,.is a 384 b 834 c 438 d none? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The 7th term of the series 6, 12, 24,.is a 384 b 834 c 438 d none?.
The 7th term of the series 6, 12, 24,.is a 384 b 834 c 438 d none? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The 7th term of the series 6, 12, 24,.is a 384 b 834 c 438 d none? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The 7th term of the series 6, 12, 24,.is a 384 b 834 c 438 d none?.
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