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The number of terms in an AP is even , the sum of odd terms is 24, sum of even terms is 30, and the last term exceeds the first term by 21/2 , then find the number of terms in AP?
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The number of terms in an AP is even , the sum of odd terms is 24, sum...
Let us take number of terms be 2nSo no. Of even and odd terms will be na2+a4+a6+a8.......nterms=30...(1)a1+a3+a5+a7....nterms=24.....(2)On subt. eqn 2 from 1AS a2-a1=d difference between two terms same a3-a4=d alsoTherefore there will nd=6........(3).. According to question Last term l=a+(2n-1)dFirst term a =aLast term minus first term =21/2 a+2nd-d-a=21/22nd-d=21/2 substitute nd value from eqn 3Then d=3/2 put in eqn 3 So n=4As earlier 2n is taken as total terms so answer is 8
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The number of terms in an AP is even , the sum of odd terms is 24, sum...
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The number of terms in an AP is even , the sum of odd terms is 24, sum of even terms is 30, and the last term exceeds the first term by 21/2 , then find the number of terms in AP?
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The number of terms in an AP is even , the sum of odd terms is 24, sum of even terms is 30, and the last term exceeds the first term by 21/2 , then find the number of terms in AP? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The number of terms in an AP is even , the sum of odd terms is 24, sum of even terms is 30, and the last term exceeds the first term by 21/2 , then find the number of terms in AP? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of terms in an AP is even , the sum of odd terms is 24, sum of even terms is 30, and the last term exceeds the first term by 21/2 , then find the number of terms in AP?.
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