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If-the-sum-of-the-first-4-terms-of-an-A-P-is-p-the-sum-of-the-first-8-terms-is-q-and-the-sum-of-the-first-12-terms-is-r-express-3p-r-in-terms-of-q-




Question Number 11255 by 786786AM last updated on 18/Mar/17
If the sum of the first 4 terms of an A.P., is p, the sum of the first 8 terms is q and the sum of the first  12 terms is r, express (3p+r) in terms of q.
Ifthesumofthefirst4termsofanA.P.,isp,thesumofthefirst8termsisqandthesumofthefirst12termsisr,express(3p+r)intermsofq.
Answered by ajfour last updated on 18/Mar/17
p=2(2a+3d)  q=4(2a+7d)  r=6(2a+11d)  So, 3p+r=6(2a+3d)+6(2a+11d)                 = 6(4a+14d) =12(2a+7d)    3p+r =3q .
p=2(2a+3d)q=4(2a+7d)r=6(2a+11d)So,3p+r=6(2a+3d)+6(2a+11d)=6(4a+14d)=12(2a+7d)3p+r=3q.

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