Question

The eight term of A.P. is half of its second term and eleventh term exceed one third of its fourth term by 1.find the 15th term

Answer 1

Here is your solution

Given:-

The eight term of A.P. is half of its second term

I. e

a + 7d = a + d/2

=>2a + 14d = a + d

a = -13d

Eleventh term exceed one third of its fourth term by 1

I. e

a + 10d = 1/3(a + 3d) + 1

a + 10d -1 = 1/3(a + 3d)

3(a + 10d -1) = a +3d

3a + 30d -3 = a + 3d

2a + 27d =3

2(-13d) + 27d =3

-26d + 27d = 3

=> d = 3

a= -13d

=> a = -39

=>15th term = a + 14d = ?

=> -39+14×3

=> -39+42

=> 3

hence

15th term is 3

Hope it helps you

@SmartyMohit