Cosine Exponent Function Integers

2175ExpertTrigonometryAlgebraNumber Theory

AIME II · 2014 · Problem 7

Let $f(x)=(x^2+3x+2)^{\cos(\pi x)}$. Find the sum of all positive integers $n$ for which $\left |\sum_{k=1}^n\log_{10}f(k)\right|=1.$

0 students attempted0% solvedRating 2175

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2175ExpertTrigonometryAlgebraNumber Theory

AIME II · 2014 · Problem 7

Let $f(x)=(x^2+3x+2)^{\cos(\pi x)}$. Find the sum of all positive integers $n$ for which $\left |\sum_{k=1}^n\log_{10}f(k)\right|=1.$

0 students attempted0% solvedRating 2175