let there be an A.P with first term a and common difference d if there are m terms in the A.P then nth term is equal to
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Since an=4
a+(n-1)2=4 given d=2
a+2n=6 ...........(1 )
Sn=-14
n/2{2a+(n-1)2}=-14
n{a+n-1}=-14
n(6-2n+n-1)=-14 from 1 a=6-2n
n(5-n)=-14
5n-n^2=-14
n^2-5n-14=0
n^2-7n+2n-14=0
n(n-7)+2(n-7)=0
(n-7)(n+2)=0
n=7 n=-2
Using this value in equation (1)
a=-8 & a=10
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