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Three Numbers Form an Increasing G P If the Middle Number
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People also ask
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What are 3 numbers in GP whose sum is 13 and the sum of whose squares is 91?
The three numbers in G.P. are either 1,3,9 or 9,3,1.
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How to assume 3 numbers in GP?
We suggest students to assume the geometric variables in the following manner: If we need to assume three numbers in G.P. then a/b, a, ab here common ratio is b. Four number in G.P. a/b3, a/b, ab, ab3 here common ratio is b. ... Five numbers in G.P. a/b2, a/b, a, ab, ab2 here common ratio is b.
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What is the condition for three numbers in GP?
If three quantities are in GP, then the middle one is called the geometric mean of the other two terms. Suppose a and r be the first term and common ratio respectively of a finite GP with n terms. Thus, the kth term from the end of the GP will be = arn-k.
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What are the three numbers in GP whose sum is 26 and product is 216?
Solution : Let the numbers be a/r, a, ar. Thus, the required numbers are 2, 6 and 18.
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What are the three numbers in GP if their sum is 14 and their product is 64?
Conclusion: The three numbers in G.P. are 2,4,8.
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What are the three numbers in GP such that their sum is 35 and their product is 1000?
The correct Answer is:5, 10, 20 or 20, 10, 5. Step by step video, text & image solution for Find three numbers in G.P. whose sum is 35 and product is 1000. by Maths experts to help you in doubts & scoring excellent marks in Class 12 exams.
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What are 3 numbers in GP whose sum is 13 and the sum of whose squares is 91?
The three numbers in G.P. are either 1,3,9 or 9,3,1.
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What are the numbers if the sum of three numbers in ap is 3 and their product is 8?
The three numbers are −4,−1,2.
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