Can someone help me find the constants a, b and c in the following n^2≡an(n+1)+b(n+1)+c Also what topic are these kind of questions under?
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Expand to get , now equate this to the polynomial on the LHS. First solve , then , then .
so u get that next n^2≡ and then do you make it equate to zero so it becomes a quadratic ? how would you go by solving for b and c ?
Now you see should equal 1 to get the right coefficients for . Then you should find the other coefficients so the rest of the polynomial equals 0.
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