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Show that the sequence defined by an =5n-7 is an ap find its common differences

Answer» Given that, an=5n-7If n=1, a1=5×1-7=5-7=-2Similarly,if n=2, a2=5×2-7=10-7=3 & If n=3, a3=5×3-7=15-7=8Now, 3-(-2)=5 8-3=5Therefore, -2,3,8 are in AP.& Common difference is 5


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