Question

The 8th term of an AP is half the 2nd term and the 11th term exceeds 1/3 of the 14th term by 1.Find the 15th term

Answer 1

Answer:

A8=1/2 a2

A+7d=1/2 (a+d)

2a+14d=a+d

A=-13d

A11= 1/3 (a14) +1

A+10d=1/3 (a+13d) +1

3a+30d=a+13d+1

3(-13d)+30d=(-13d)+13d+1

-39d+30d=1

-9d=1

D=-1/9

=>a=-13(-1/9) =13/9

A15= 13/9+ 14(-1/9)

=(13-14)/9=-1/9

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