find the 4th term of A.p whose second term is 38 and 6th term is -22
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Step-by-step explanation:
4th term = a4= a +3d ...1
2nd term = a2 = a+d
38 = a+d. ...2
6th term = a6 = a+5d
-22 = a+5d. ...3
on subtracting 2 from 3,we get
a +5d -a-d = -22-38
4d = -60
d = - 15
on substitute the value of d in 2
38 = a +(-15)
a= 38+15
a = 53
on substituting the value of a and d in 1
a4 = 53 + 3(-15)
a4 = 53-45
a4 = 8
so, 4th term of an A.P. is 8
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