Sum of first 7 terms of an arithmetic sequence is 98 .Fnd the fourth term.
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0
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2
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14
Step-by-step explanation:
Sum of 7 terms = 98
(7/2)(2xa+ (7-1)xd) = 98 {sum of n terms= (n/2)(2xa+(n-1)xd}
(7/2)x(2a+6d) =98
7x(a+3d) = 98
(a+3d)= 14 --------- 1
Now,
4th term= a+3d ---------2
{ nth term of AP = a+(n-1)xd }
So from 1 and 2
fourth term = 14.
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