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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES
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Medium
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Analyzing
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Let the sum of an infinite G.P., whose first term is a and the common ratio is , be 5 . Let the sum of its first five terms be . Then the sum of the first 21 terms of an AP, whose first term is term is and the common difference is , is equal to
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Correct option: A
Option A () is correct because after solving for the common ratio and substituting into the sum of the AP, the result simplifies to .
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Given the sets , then find the following
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(iii) If are in A.P.; are in G.P. and are in G.P., then are in Suppose is expressed as a polynomial in , as where , then equals If and are in , where and c are in , then are the lengths of sides of If the sum of three numbers in G.P. is 63 and the product of the first and the second term is of the third term, then the numbers are If the lengths of sides of a right angled triangle are in A.P., then their ratio is
(i)
(ii)
(iii) If are in A.P.; are in G.P. and are in G.P., then are in Suppose is expressed as a polynomial in , as where , then equals If and are in , where and c are in , then are the lengths of sides of If the sum of three numbers in G.P. is 63 and the product of the first and the second term is of the third term, then the numbers are If the lengths of sides of a right angled triangle are in A.P., then their ratio is
