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Divide 30 into 5 parts in ap whose sum is 69 and product of first two is 483 numbers are?
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Divide 30 into 5 parts in ap whose sum is 69 and product of first two ...
Dividing 30 into 5 parts in AP
To divide 30 into 5 parts in AP, we need to find the common difference between the terms and then determine each term. Let's call the first term a and the common difference d.
Finding the common difference
Since we have 5 terms, we can use the formula for the sum of an AP to find the value of d. The sum of an AP is given by:
S = n/2(2a + (n-1)d)
where S is the sum of the AP, n is the number of terms, a is the first term, and d is the common difference.
Substituting n = 5 and S = 69, we get:
69 = 5/2(2a + 4d)
13.8 = 2a + 4d
2a = 13.8 - 4d
a = (13.8 - 4d)/2
Now we need to find the value of d. We know that the product of the first two terms is 483. So,
a(a+d) = 483
Substituting a = (13.8 - 4d)/2, we get:
(13.8 - 4d)/2[(13.8 - 4d)/2 + d] = 483
27.6 - 8d + 2d^2 = 1932
2d^2 - 8d - 1904.4 = 0
Solving for d, we get d = 7.4 or d = -51.4. Since the common difference cannot be negative, we take d = 7.4.
Finding the terms
Now that we have the value of the common difference, we can find the value of the first term:
a = (13.8 - 4d)/2 = (13.8 - 4(7.4))/2 = -1.4
So the terms are:
-1.4, 6, 13.4, 20.8, 28.2
These are the 5 parts into which 30 can be divided in AP whose sum is 69 and product of first two is 483.
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Divide 30 into 5 parts in ap whose sum is 69 and product of first two is 483 numbers are?
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Divide 30 into 5 parts in ap whose sum is 69 and product of first two is 483 numbers are? 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 Divide 30 into 5 parts in ap whose sum is 69 and product of first two is 483 numbers are? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Divide 30 into 5 parts in ap whose sum is 69 and product of first two is 483 numbers are?.
Divide 30 into 5 parts in ap whose sum is 69 and product of first two is 483 numbers are? 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 Divide 30 into 5 parts in ap whose sum is 69 and product of first two is 483 numbers are? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Divide 30 into 5 parts in ap whose sum is 69 and product of first two is 483 numbers are?.
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