if the sum of first P terms of an ap is a p^2+ b p find the nth term
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Sp = a*p^2 + b*p
S(p - 1) = a*(p-1)^2 + b*(p-1)
S(p - 1) = a*(p^2 - 2*p + 1) + b*(p-1)
pth term of AP, ap = Sp - S(p-1)
pth term, ap = a*p^2 + b*p - a*p^2 + 2*a*p - a - b*p - b
pth term, ap = 2*a*p - a - b
nth term of an AP, an = 2*a*n - a - b
S(p - 1) = a*(p-1)^2 + b*(p-1)
S(p - 1) = a*(p^2 - 2*p + 1) + b*(p-1)
pth term of AP, ap = Sp - S(p-1)
pth term, ap = a*p^2 + b*p - a*p^2 + 2*a*p - a - b*p - b
pth term, ap = 2*a*p - a - b
nth term of an AP, an = 2*a*n - a - b
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