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
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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
smartyAnushka:
Nice...❤
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