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If nth of an A.P be 1÷m,and mth term be 1÷n,find (mn)th term ?
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If nth of an A.P be 1÷m,and mth term be 1÷n,find (mn)th term ?
Nth term = 1/ma + ( n - 1 )d = 1/m. .......eq. 1also, mth term = 1/na + ( m - 1 )d = 1/n. .......eq. 2now, subtracting eq.2 from eq. 1a + ( m - 1 )d = 1/na + ( n - 1 )d = 1/m- - -___________________ ( m - n)d = m - n/mn d = m-n/mn *1/m-nd = 1 / mn.......... eq. 3now, using eq. 3 in eq. 1we have, on solving a = 1/ mnnow, mnth = ? a + ( mn - 1 )dputting the value of a and d we have 1/ mn + ( mn - 1 )1/ mn1/ mn + mn - 1/ mn1 + mn - 1 / mn= 1 thus mnth term of an AP is 1
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If nth of an A.P be 1÷m,and mth term be 1÷n,find (mn)th term ?
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If nth of an A.P be 1÷m,and mth term be 1÷n,find (mn)th term ?
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If nth of an A.P be 1÷m,and mth term be 1÷n,find (mn)th term ? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If nth of an A.P be 1÷m,and mth term be 1÷n,find (mn)th term ? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If nth of an A.P be 1÷m,and mth term be 1÷n,find (mn)th term ?.
If nth of an A.P be 1÷m,and mth term be 1÷n,find (mn)th term ? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If nth of an A.P be 1÷m,and mth term be 1÷n,find (mn)th term ? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If nth of an A.P be 1÷m,and mth term be 1÷n,find (mn)th term ?.
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