The 9th term of an A.P. is equal to 6 times its second term. If its 5th term is 22, find the A.P.
Given: a5 = 22
a + 4d=22 (i)
Acc. to question,
a9 = 6a2 (ii)
a9= a +8d
a2=a+d
Putting the value of a9 and a2 in (ii)
a +8d= 6(a +d)
2d=5a
2d=5(22 -4d)
22d=110
d=5
Now, putting the value of d in (i)
a=22 -4(5)=2
a1 = a=2
a2 =a +d=2 +5=7
a3 =a +2d=2 + 2(5)=12
Hence, the A.P. is 
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