Use the distributive property to complete the equation. \[ \begin{aligned} 60 \times 52 & =60 \times(50+2) \\ & =(60 \times \square)+(60 \times \square)\end{aligned} \]

UESTION 1 1 Given the sequence \( 3 ; 6 ; 13 ; 24 ; \ldots \). 1.1.1 Derive the general term of this sequence. 1.1.2 Which term of this sequence is the first to be greater than 500 .

Time left 0:34 dog can run 0.04 km every minute, and a horse can run 0.08 every minute. But it takes 0.8 to saddle the horse and minutes to unleash a dog. How far can the dog get before the horse catches up with it.

If \( \frac{1}{\sqrt{m}+\sqrt{m+1}}=\sqrt{m+1}-\sqrt{m} \), determine, without the use of a calculator, the exact value of \( \frac{1}{\sqrt{4}+\sqrt{5}}+\frac{1}{\sqrt{5}+\sqrt{6}}+\frac{1}{\sqrt{6}+\sqrt{7}}+\ldots+\frac{1}{\sqrt{1680}+\sqrt{1681}} \)

29. Multiplicar los siguientes radicales. c) \( \sqrt[3]{4} \cdot \sqrt{2} \cdot \sqrt[5]{16} \) d) \( \sqrt{a} \cdot \sqrt[3]{a^{2}} \cdot \sqrt[4]{a^{3}} \)

29. Multiplicar los siguientes radicales. c) \( \sqrt[3]{4} \cdot \sqrt{2} \cdot \sqrt[5]{16} \) d) \( \sqrt{a} \cdot \sqrt[3]{a^{2}} \cdot \sqrt[4]{a^{3}} \)