the sum of first p terms of an AP is (ap²+bp²). What is the common difference of the AP?
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sumofptemsinap=sp
sp=ap
2
+bp
s1=a1
2
+b1=a+b
s2=a2
2
+b2=4a+2b
a1=s1=a+b
a2=s2−s1=4a+2b−(a+b)
=4a+2b−a−b
=3a+b
commondifference=d
d=a2−a1
=3a+b−(a+b)
=3a+b−a−b
=2a
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