If the 5th term of an A.P is 75 and the 8th term is 525, find the 6th term?
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5th term=75 , 8th term = 525
a+4d=75 , a+7d=525
a=75-4d ......(1) , 75-4d+7d=525
-4d+7d=525-75
3d = 450
d = 450/3
d = 150 ...............(2)
from (1)
a= 75-4×150
a=75-600
a=-525
6th term =a+5d
=-525+5×150
=-525+750
=225
...............
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