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Home » \[ 2 = \fraca + b - 102 \] - Esdistancia

\[ 2 = \fraca + b - 102 \] - Esdistancia

📅 March 17, 2026 👤 scraface

Mar 17, 2026

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Final answer: $\boxed{(4, 3)}$
Question: Microfossil density $ d(t) $ in a sediment layer follows $ \...
Solution: Use partial fractions to decompose $ \frac{1}{k(k+1)(k+2)} $...
\frac{1}{k(k+1)(k+2)} = \frac{A}{k} + \frac{B}{k+1} + \frac{C}{k+2}.
Multiply through: $ 1 = A(k+1)(k+2) + Bk(k+2) + Ck(k+1) $.
Solve for $ A, B, C $:
For $ k = 0 $: $ 1 = A(1)(2) \implies A = \frac{1}{2} $.
For $ k = -1 $: $ 1 = B(-1)(1) \implies B = -1 $.
For $ k = -2 $: $ 1 = C(-2)(-1) \implies C = \frac{1}{2} $.
\frac{1}{k(k+1)(k+2)} = \frac{1}{2k} - \frac{1}{k+1} + \frac{1}{2(k+2)...

📝 Recent Posts

En branchant \( S_n = 155 \), \( a = 5 \), et \( d = 4 \): \( 155 = \f...
Cela devient \( 155 = \frac{n}{2} [10 + 4n - 4] = \frac{n}{2} (4n + 6)...
Une simplification supplémentaire donne \( 155 = 2n^2 + 3n \), ou \( 2...
Résoudre l'équation quadratique donne \( n = 7.5 \) (en ignorant la ra...
Comme \( n \) doit être un entier, \( n = 7 \) est la valeur correcte.
Quelle est la valeur de \( x \) dans l'équation \( 2^{x+1} = 32 \)?
Réécrire 32 comme \( 2^5 \), l'équation devient \( 2^{x+1} = 2^5 \).
Égaliser les exposants donne \( x + 1 = 5 \).
Résoudre pour \( x \) donne \( x = 4 \).
Un groupe de 5 amis plans une fête et achète 5 grands gâteaux, chacun...

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