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The eighth term of an A.P …

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The eighth term of an A.P is half its second term and eleventh term exeed one third of its fourth term by 1 . Find the 15th term
  • 2 answers

Anushka Jugran ? 6 years, 11 months ago

15th term is 3

Gurjar Kabir (बैंसला) 6 years, 11 months ago

Sol.........             A8=a+7d=a+d/2   ......              2(a+7d)=a+d      ..........       2a+14d= a+d         2a-a+14d-d=0     a+13d=0.       ...... (i)   A+10d=a+3d/3+1  .    A+10d=(a+3d+3)/3             3(a+10d)=a+3d+3                   3a-a+30d-3d-3=0                          2a+27d=3.          ... (ii)  Solve (i)&(ii)  Eq(i) multiply by 2       2a+26d=0......(iii)       2a+27d=3.......(iv) Solve (iii) & (iv)  D=3 Put d in (i)  A+39=0  A= -39****   D=3 A15=a+14d       =.  - 39+14(3)=.  - 39+42=. 3 A15 is 3           Answer is 3              I hope this answer helps u
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