S4=40,S14=280, find Sn
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if the series is AP
then,
s4=4a+6d=14
or, 2a +3d=7----------------eqn 1
s14=14a+91d=280
or, 2a+13d=40-------------eqn 2
solving eqn1 and eqn 2
d=33/10
a=-29/20
sn=n/2[2a+(n-1)*d]=n/2[(33n/10)-(31/5)]=(33n^2/20)-(31n/10)
anmol23152:
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