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Ask iit jee aieee pet cbse icse state board experts Expert Question: the ratio of the sum of n terms of two a.p.'s is (7n+1):(4n+27) the ratio of the mth terms
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bhompu (0)

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the ratio of the sum of n terms of two a.p.'s is (7n+1):(4n+27) the ratio of the mth terms
    
akshay.gupta (444)

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u r dropping...n this is ur Q. ???...relli strange!

its a X level Q.
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iitkgp_bipin (6498)

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Let the sum for both AP's be :

(n/2){2(4) + (n-1)(7)} and (n/2){2(31/2) + (n-1)(4)}

Both of them are expressed in the form of (n/2)(2a + (n-1)d)

so their mth terms are 4 + (m-1)7 and 31/2 + (m-1)4

7m-3 and 4m + 23/2

so their ratio = (7m-3) / (4m + 23/2) = (14m - 6) / (8m + 23)


Bipin Kumar Dubey
Chemical Dept.
IIT Kharagpur

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ganapathi1810 (317)

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ALREADY  I SEND




 


SIMPLEST METHOD


SIXTH  SEPTEMBER.

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gurl (160)

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simplest trick............
write the problem in equation form...

n/2[2a+(n-1)d]/n/2[2A+(n-1)D] = 7n+1/4n+27....

now everywhere replace n by 2m-1....and u'll get the answer.......

14m-6/8m+23





"The pain will always subside,,,,,it may last for a second,for a minute ,for an hour,or for a year,,,,,,,but if I quit,,,it lasts forever"
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