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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES
1
Easy
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Application
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If 100 times the 100 th term of an with non-zero common difference equals the 50 times its 50th term, then the 150th term of this AP is
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Correct option: C
zero
Option C (zero) is correct because the 150th term of the AP is zero, derived from the given relationship between the 100th and 50th terms.
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Given the sets , then find the following
(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
(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
