Show that the sequence defined by an:5n - 7 is an AP
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put n=1 in 5n-7=5*1-7=-2
put n=2in 5n-7=5*2-7=3
put n=3 in 5n-7=5*3-7=8
now d=3-(-2)=5
d=8-3=5
since difference are equal
therefore it is a p
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