The 19th term of the ap is equal to 3 times its 60 term if its ninth term is 19 find the ap
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Let first term be 'a' & common difference be 'd'
A9=19
=>a+8d=19........(1)
A19=3(a60)
=>A+18d=3(a+59d)
A+18d=3a+168d
A=3a+168d-18d
A=3a+150d
3a-a+150d=0
2a+150d=0
=>a+75d=0........(2)
By solving (1)&(2),
d=19/67
=>a1=16.73
a2=17.01
Therefore A.P is 16.73,17.01,....
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