If 9th term of an ap is equal to 6 times of its 2nd terms and if its 5th term is 22 find the ap
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a9= 6 * a2 and , a5= 22;
I.e
a+ 8d = 6(a + d)
a + 8d = 6a + 6d
I.e
2d = 5a(Eq 1)
a5 = 22
I.e
a+ 4d= 22
From Eq 1
a+ 10a = 22
I.e
11a = 22
I.e
a= 2
So,
d= 5;
So,
A.P: 2, 7, 12, 17, 22, 27, 32, 37, 42
I.e
a+ 8d = 6(a + d)
a + 8d = 6a + 6d
I.e
2d = 5a(Eq 1)
a5 = 22
I.e
a+ 4d= 22
From Eq 1
a+ 10a = 22
I.e
11a = 22
I.e
a= 2
So,
d= 5;
So,
A.P: 2, 7, 12, 17, 22, 27, 32, 37, 42
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