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If sum of 3 arithmetic means between "a" and 22 us 42, then "a" =____
- a)14
- b)11
- c)10
- d)6
Correct answer is option 'D'. Can you explain this answer?
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If sum of 3 arithmetic means between "a" and 22 us 42, then ...
If the sum of 3 arithmetic means between two numbers is 24, then we can find the common difference of the arithmetic sequence using the formula:
d = (second term - first term) / 2
Let the two numbers be a and b, where a < b.="" then="" the="" three="" arithmetic="" means="" />
a + d
a + 2d
a + 3d
And the sum of these means is:
(a + d) + (a + 2d) + (a + 3d) = 3a + 6d
We are given that this sum is 24, so:
3a + 6d = 24
Simplifying and dividing by 3, we get:
a + 2d = 8
Using this equation and the formula for the common difference, we can solve for a and d in terms of b:
d = (b - a) / 4
a + 2(b - a) / 4 = 8
Simplifying and solving for a, we get:
a = (2b - 16) / 3
Substituting this into the formula for d, we get:
d = (b - (2b - 16) / 3) / 4
Simplifying, we get:
d = (4b - 32) / 12
d = (b - 8) / 3
Therefore, the common difference of the arithmetic sequence is (b - 8) / 3.
d = (second term - first term) / 2
Let the two numbers be a and b, where a < b.="" then="" the="" three="" arithmetic="" means="" />
a + d
a + 2d
a + 3d
And the sum of these means is:
(a + d) + (a + 2d) + (a + 3d) = 3a + 6d
We are given that this sum is 24, so:
3a + 6d = 24
Simplifying and dividing by 3, we get:
a + 2d = 8
Using this equation and the formula for the common difference, we can solve for a and d in terms of b:
d = (b - a) / 4
a + 2(b - a) / 4 = 8
Simplifying and solving for a, we get:
a = (2b - 16) / 3
Substituting this into the formula for d, we get:
d = (b - (2b - 16) / 3) / 4
Simplifying, we get:
d = (4b - 32) / 12
d = (b - 8) / 3
Therefore, the common difference of the arithmetic sequence is (b - 8) / 3.
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If sum of 3 arithmetic means between "a" and 22 us 42, then "a" =____a)14b)11c)10d)6Correct answer is option 'D'. Can you explain this answer?
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If sum of 3 arithmetic means between "a" and 22 us 42, then "a" =____a)14b)11c)10d)6Correct answer is option 'D'. Can you explain this answer? 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 If sum of 3 arithmetic means between "a" and 22 us 42, then "a" =____a)14b)11c)10d)6Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If sum of 3 arithmetic means between "a" and 22 us 42, then "a" =____a)14b)11c)10d)6Correct answer is option 'D'. Can you explain this answer?.
If sum of 3 arithmetic means between "a" and 22 us 42, then "a" =____a)14b)11c)10d)6Correct answer is option 'D'. Can you explain this answer? 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 If sum of 3 arithmetic means between "a" and 22 us 42, then "a" =____a)14b)11c)10d)6Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If sum of 3 arithmetic means between "a" and 22 us 42, then "a" =____a)14b)11c)10d)6Correct answer is option 'D'. Can you explain this answer?.
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