If -x-5n-5 4x-3-An2-Bn-C- then A-B-C is equal to

∑_x=5^n+5 4(x 3) = An^2+Bn+C ⇒ #160;∑_x=5^n+5 4(x 3) = #160;4[(n + 5)(n + 6)2 (4)(5)2] 3(n + 1) ⇒ #160;∑_x=5^n+5 4(x 3) = 2(n^2 + 11n + ...

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Remainder Theorem

If ∑x=5n+5 ...

Question

If $\sum_{x = 5}^{n + 5} 4 (x - 3) = A n^{2} + B n + C$ , then $A + B - C$ is equal to

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Solution

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