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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Progression doubt
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rakesh61 (1898)

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if the ratio between the sum of n terms of 2 AP's is 3n+8/7n+15
 
Then the ratio between their 12 th  term is  
 
Ans 7:16
 
Please give me a detailed solution i shall rate you

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karthik2007 (3718)

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Let the 1st terms be A and a, and common difference be D and d respectively.

Now, n/2(2A+(n-1)D)/n/2(2a+(n-1)d/) = the given ratio.

Cancelling,n, we get:

(A+(n-1)/2D)/(a+(n-1)/2d) = the ratio.
Put (n-1)/2 = 11 => n-1 = 22 => n=23.

The ratio is: 77/176 = 7/16.



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